Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 86102. [0] [1] [2] [3] [4] ... [861]

Sequence ub3tktmvdthvj

0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, more...

integer, non-monotonic, +, A001222

a(n)=Ω(n)
Ω(n)=max factorization terms
n≥1
2 operations
Prime

Sequence vxxvaleofb2dn

0, -1, -1, -2, -1, -2, -1, -3, -2, -2, -1, -3, -1, -2, -2, -4, -1, -3, -1, -3, -2, -2, -1, -4, -2, -2, -3, -3, -1, -3, -1, -5, -2, -2, -2, -4, -1, -2, -2, -4, -1, -3, -1, -3, -3, -2, -1, -5, -2, -3, more...

integer, non-monotonic, -

a(n)=-Ω(n)
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence 0wgg5olzoixrd

0, 1, 1, 4, 1, 4, 1, 9, 4, 4, 1, 9, 1, 4, 4, 16, 1, 9, 1, 9, 4, 4, 1, 16, 4, 4, 9, 9, 1, 9, 1, 25, 4, 4, 4, 16, 1, 4, 4, 16, 1, 9, 1, 9, 9, 4, 1, 25, 4, 9, more...

integer, non-monotonic, +

a(n)=Ω(n)²
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence rvjewxl0eexag

0, 2, 2, 4, 2, 4, 2, 6, 4, 4, 2, 6, 2, 4, 4, 8, 2, 6, 2, 6, 4, 4, 2, 8, 4, 4, 6, 6, 2, 6, 2, 10, 4, 4, 4, 8, 2, 4, 4, 8, 2, 6, 2, 6, 6, 4, 2, 10, 4, 6, more...

integer, non-monotonic, +, A255201

a(n)=Ω(n²)
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence adfuooxrcsxoo

0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 3, 1, 2, 1, 2, 1, more...

integer, non-monotonic, +

a(n)=Ω(stern(n))
stern(n)=Stern-Brocot sequence
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence fhpwn2cxzrwwc

0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 3, 1, 2, more...

integer, non-monotonic, +

a(n)=stern(Ω(n))
Ω(n)=max factorization terms
stern(n)=Stern-Brocot sequence
n≥1
3 operations
Prime

Sequence 1hpvnmk2mtt1n

-10, -9, -9, -8, -9, -8, -9, -7, -8, -8, -9, -7, -9, -8, -8, -6, -9, -7, -9, -7, -8, -8, -9, -6, -8, -8, -7, -7, -9, -7, -9, -5, -8, -8, -8, -6, -9, -8, -8, -6, -9, -7, -9, -7, -7, -8, -9, -5, -8, -7, more...

integer, non-monotonic, -

a(n)=Ω(n)-10
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 3j5b2lqvnco5j

-9, -8, -8, -7, -8, -7, -8, -6, -7, -7, -8, -6, -8, -7, -7, -5, -8, -6, -8, -6, -7, -7, -8, -5, -7, -7, -6, -6, -8, -6, -8, -4, -7, -7, -7, -5, -8, -7, -7, -5, -8, -6, -8, -6, -6, -7, -8, -4, -7, -6, more...

integer, non-monotonic, -

a(n)=Ω(n)-9
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 254gx5wm4adbe

-8, -7, -7, -6, -7, -6, -7, -5, -6, -6, -7, -5, -7, -6, -6, -4, -7, -5, -7, -5, -6, -6, -7, -4, -6, -6, -5, -5, -7, -5, -7, -3, -6, -6, -6, -4, -7, -6, -6, -4, -7, -5, -7, -5, -5, -6, -7, -3, -6, -5, more...

integer, non-monotonic, -

a(n)=Ω(n)-8
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence sdtg4josr2ozb

-7, -6, -6, -5, -6, -5, -6, -4, -5, -5, -6, -4, -6, -5, -5, -3, -6, -4, -6, -4, -5, -5, -6, -3, -5, -5, -4, -4, -6, -4, -6, -2, -5, -5, -5, -3, -6, -5, -5, -3, -6, -4, -6, -4, -4, -5, -6, -2, -5, -4, more...

integer, non-monotonic, -

a(n)=Ω(n)-7
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 303lfmvwozndf

-6, -5, -5, -4, -5, -4, -5, -3, -4, -4, -5, -3, -5, -4, -4, -2, -5, -3, -5, -3, -4, -4, -5, -2, -4, -4, -3, -3, -5, -3, -5, -1, -4, -4, -4, -2, -5, -4, -4, -2, -5, -3, -5, -3, -3, -4, -5, -1, -4, -3, more...

integer, non-monotonic, -

a(n)=Ω(n)-6
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence xbre55evjn2so

-5, -4, -4, -3, -4, -3, -4, -2, -3, -3, -4, -2, -4, -3, -3, -1, -4, -2, -4, -2, -3, -3, -4, -1, -3, -3, -2, -2, -4, -2, -4, 0, -3, -3, -3, -1, -4, -3, -3, -1, -4, -2, -4, -2, -2, -3, -4, 0, -3, -2, more...

integer, non-monotonic, -

a(n)=Ω(n)-5
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 2hdnlbjcs5zwh

-4, -3, -3, -2, -3, -2, -3, -1, -2, -2, -3, -1, -3, -2, -2, 0, -3, -1, -3, -1, -2, -2, -3, 0, -2, -2, -1, -1, -3, -1, -3, 1, -2, -2, -2, 0, -3, -2, -2, 0, -3, -1, -3, -1, -1, -2, -3, 1, -2, -1, more...

integer, non-monotonic, +-

a(n)=Ω(n)-4
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence d1yf35qmrwpul

-3.1415926536, -2.1415926536, -2.1415926536, -1.1415926536, -2.1415926536, -1.1415926536, -2.1415926536, -0.1415926536, -1.1415926536, -1.1415926536, -2.1415926536, -0.1415926536, -2.1415926536, -1.1415926536, -1.1415926536, 0.8584073464, -2.1415926536, -0.1415926536, -2.1415926536, -0.1415926536, -1.1415926536, -1.1415926536, -2.1415926536, 0.8584073464, -1.1415926536, more...

decimal, non-monotonic, +-

a(n)=Ω(n)-π
Ω(n)=max factorization terms
π=3.141...
n≥1
4 operations
Prime

Sequence ryw2mxeap43le

-3, -2, -2, -1, -2, -1, -2, 0, -1, -1, -2, 0, -2, -1, -1, 1, -2, 0, -2, 0, -1, -1, -2, 1, -1, -1, 0, 0, -2, 0, -2, 2, -1, -1, -1, 1, -2, -1, -1, 1, -2, 0, -2, 0, 0, -1, -2, 2, -1, 0, more...

integer, non-monotonic, +-

a(n)=Ω(n)-3
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence oue11ko3lgzdf

-2, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 2, -1, 1, -1, 1, 0, 0, -1, 2, 0, 0, 1, 1, -1, 1, -1, 3, 0, 0, 0, 2, -1, 0, 0, 2, -1, 1, -1, 1, 1, 0, -1, 3, 0, 1, more...

integer, non-monotonic, +-

a(n)=Ω(n)-2
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence zvnenefvwlq1f

-1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 3, 0, 2, 0, 2, 1, 1, 0, 3, 1, 1, 2, 2, 0, 2, 0, 4, 1, 1, 1, 3, 0, 1, 1, 3, 0, 2, 0, 2, 2, 1, 0, 4, 1, 2, more...

integer, non-monotonic, +-

a(n)=Ω(n)-1
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence p0zmuplrhpa0b

0, 0.1, 0.1, 0.2, 0.1, 0.2, 0.1, 0.3, 0.2, 0.2, 0.1, 0.3, 0.1, 0.2, 0.2, 0.4, 0.1, 0.3, 0.1, 0.3, 0.2, 0.2, 0.1, 0.4, 0.2, more...

decimal, non-monotonic, +

a(n)=Ω(n)/10
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 5ok25ohxs4vfp

0, 0.1111111111, 0.1111111111, 0.2222222222, 0.1111111111, 0.2222222222, 0.1111111111, 0.3333333333, 0.2222222222, 0.2222222222, 0.1111111111, 0.3333333333, 0.1111111111, 0.2222222222, 0.2222222222, 0.4444444444, 0.1111111111, 0.3333333333, 0.1111111111, 0.3333333333, 0.2222222222, 0.2222222222, 0.1111111111, 0.4444444444, 0.2222222222, more...

decimal, non-monotonic, +

a(n)=Ω(n)/9
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 1y02bubwwvixn

0, 0.125, 0.125, 0.25, 0.125, 0.25, 0.125, 0.375, 0.25, 0.25, 0.125, 0.375, 0.125, 0.25, 0.25, 0.5, 0.125, 0.375, 0.125, 0.375, 0.25, 0.25, 0.125, 0.5, 0.25, more...

decimal, non-monotonic, +

a(n)=Ω(n)/8
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence kxc1u5krush2b

0, 0.1428571429, 0.1428571429, 0.2857142857, 0.1428571429, 0.2857142857, 0.1428571429, 0.4285714286, 0.2857142857, 0.2857142857, 0.1428571429, 0.4285714286, 0.1428571429, 0.2857142857, 0.2857142857, 0.5714285714, 0.1428571429, 0.4285714286, 0.1428571429, 0.4285714286, 0.2857142857, 0.2857142857, 0.1428571429, 0.5714285714, 0.2857142857, more...

decimal, non-monotonic, +

a(n)=Ω(n)/7
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence cpqawuo3gyo2d

0, 0.1666666667, 0.1666666667, 0.3333333333, 0.1666666667, 0.3333333333, 0.1666666667, 0.5, 0.3333333333, 0.3333333333, 0.1666666667, 0.5, 0.1666666667, 0.3333333333, 0.3333333333, 0.6666666667, 0.1666666667, 0.5, 0.1666666667, 0.5, 0.3333333333, 0.3333333333, 0.1666666667, 0.6666666667, 0.3333333333, more...

decimal, non-monotonic, +

a(n)=Ω(n)/6
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence lbm0dhaxeozem

0, 0.2, 0.2, 0.4, 0.2, 0.4, 0.2, 0.6, 0.4, 0.4, 0.2, 0.6, 0.2, 0.4, 0.4, 0.8, 0.2, 0.6, 0.2, 0.6, 0.4, 0.4, 0.2, 0.8, 0.4, more...

decimal, non-monotonic, +

a(n)=Ω(n)/5
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence j1khygfbdhfdm

0, 0.25, 0.25, 0.5, 0.25, 0.5, 0.25, 0.75, 0.5, 0.5, 0.25, 0.75, 0.25, 0.5, 0.5, 1, 0.25, 0.75, 0.25, 0.75, 0.5, 0.5, 0.25, 1, 0.5, more...

decimal, non-monotonic, +

a(n)=Ω(n)/4
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence ymzs5bfjmilgh

0, 0.3183098862, 0.3183098862, 0.6366197724, 0.3183098862, 0.6366197724, 0.3183098862, 0.9549296586, 0.6366197724, 0.6366197724, 0.3183098862, 0.9549296586, 0.3183098862, 0.6366197724, 0.6366197724, 1.2732395447, 0.3183098862, 0.9549296586, 0.3183098862, 0.9549296586, 0.6366197724, 0.6366197724, 0.3183098862, 1.2732395447, 0.6366197724, more...

decimal, non-monotonic, +

a(n)=Ω(n)/π
Ω(n)=max factorization terms
π=3.141...
n≥1
4 operations
Prime

Sequence hm0ffkvayq4rh

0, 0.3333333333, 0.3333333333, 0.6666666667, 0.3333333333, 0.6666666667, 0.3333333333, 1, 0.6666666667, 0.6666666667, 0.3333333333, 1, 0.3333333333, 0.6666666667, 0.6666666667, 1.3333333333, 0.3333333333, 1, 0.3333333333, 1, 0.6666666667, 0.6666666667, 0.3333333333, 1.3333333333, 0.6666666667, more...

decimal, non-monotonic, +

a(n)=Ω(n)/3
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence owss1meaws5rh

0, 0.5, 0.5, 1, 0.5, 1, 0.5, 1.5, 1, 1, 0.5, 1.5, 0.5, 1, 1, 2, 0.5, 1.5, 0.5, 1.5, 1, 1, 0.5, 2, 1, more...

decimal, non-monotonic, +

a(n)=Ω(n)/2
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence tgnkxl1sgno2n

0, 3, 3, 6, 3, 6, 3, 9, 6, 6, 3, 9, 3, 6, 6, 12, 3, 9, 3, 9, 6, 6, 3, 12, 6, 6, 9, 9, 3, 9, 3, 15, 6, 6, 6, 12, 3, 6, 6, 12, 3, 9, 3, 9, 9, 6, 3, 15, 6, 9, more...

integer, non-monotonic, +

a(n)=3*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence q25kd1r5bpclb

0, 3.1415926536, 3.1415926536, 6.2831853072, 3.1415926536, 6.2831853072, 3.1415926536, 9.4247779608, 6.2831853072, 6.2831853072, 3.1415926536, 9.4247779608, 3.1415926536, 6.2831853072, 6.2831853072, 12.5663706144, 3.1415926536, 9.4247779608, 3.1415926536, 9.4247779608, 6.2831853072, 6.2831853072, 3.1415926536, 12.5663706144, 6.2831853072, more...

decimal, non-monotonic, +

a(n)=π*Ω(n)
π=3.141...
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 3brfrywcz0tgc

0, 4, 4, 8, 4, 8, 4, 12, 8, 8, 4, 12, 4, 8, 8, 16, 4, 12, 4, 12, 8, 8, 4, 16, 8, 8, 12, 12, 4, 12, 4, 20, 8, 8, 8, 16, 4, 8, 8, 16, 4, 12, 4, 12, 12, 8, 4, 20, 8, 12, more...

integer, non-monotonic, +

a(n)=4*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 4vzcdmsmkw54k

0, 5, 5, 10, 5, 10, 5, 15, 10, 10, 5, 15, 5, 10, 10, 20, 5, 15, 5, 15, 10, 10, 5, 20, 10, 10, 15, 15, 5, 15, 5, 25, 10, 10, 10, 20, 5, 10, 10, 20, 5, 15, 5, 15, 15, 10, 5, 25, 10, 15, more...

integer, non-monotonic, +

a(n)=5*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence eoblmzsgo3vxe

0, 6, 6, 12, 6, 12, 6, 18, 12, 12, 6, 18, 6, 12, 12, 24, 6, 18, 6, 18, 12, 12, 6, 24, 12, 12, 18, 18, 6, 18, 6, 30, 12, 12, 12, 24, 6, 12, 12, 24, 6, 18, 6, 18, 18, 12, 6, 30, 12, 18, more...

integer, non-monotonic, +

a(n)=6*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence egvhhakygfzvm

0, 7, 7, 14, 7, 14, 7, 21, 14, 14, 7, 21, 7, 14, 14, 28, 7, 21, 7, 21, 14, 14, 7, 28, 14, 14, 21, 21, 7, 21, 7, 35, 14, 14, 14, 28, 7, 14, 14, 28, 7, 21, 7, 21, 21, 14, 7, 35, 14, 21, more...

integer, non-monotonic, +

a(n)=7*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence pem5upigdwpfb

0, 8, 8, 16, 8, 16, 8, 24, 16, 16, 8, 24, 8, 16, 16, 32, 8, 24, 8, 24, 16, 16, 8, 32, 16, 16, 24, 24, 8, 24, 8, 40, 16, 16, 16, 32, 8, 16, 16, 32, 8, 24, 8, 24, 24, 16, 8, 40, 16, 24, more...

integer, non-monotonic, +

a(n)=8*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence tqziyzisnqz3l

0, 9, 9, 18, 9, 18, 9, 27, 18, 18, 9, 27, 9, 18, 18, 36, 9, 27, 9, 27, 18, 18, 9, 36, 18, 18, 27, 27, 9, 27, 9, 45, 18, 18, 18, 36, 9, 18, 18, 36, 9, 27, 9, 27, 27, 18, 9, 45, 18, 27, more...

integer, non-monotonic, +

a(n)=9*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence m215e5v5mlkq

0, 10, 10, 20, 10, 20, 10, 30, 20, 20, 10, 30, 10, 20, 20, 40, 10, 30, 10, 30, 20, 20, 10, 40, 20, 20, 30, 30, 10, 30, 10, 50, 20, 20, 20, 40, 10, 20, 20, 40, 10, 30, 10, 30, 30, 20, 10, 50, 20, 30, more...

integer, non-monotonic, +

a(n)=10*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence tz2tlehhlgbgf

1, 0, 0, -1, 0, -1, 0, -2, -1, -1, 0, -2, 0, -1, -1, -3, 0, -2, 0, -2, -1, -1, 0, -3, -1, -1, -2, -2, 0, -2, 0, -4, -1, -1, -1, -3, 0, -1, -1, -3, 0, -2, 0, -2, -2, -1, 0, -4, -1, -2, more...

integer, non-monotonic, +-

a(n)=1-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence o4hiusfwh5xfh

1, 1, 0.5, 1, 0.5, 1, 0.3333333333, 0.5, 0.5, 1, 0.3333333333, 1, 0.5, 0.5, 0.25, 1, 0.3333333333, 1, 0.3333333333, 0.5, 0.5, 1, 0.25, 0.5, 0.5, more...

decimal, non-monotonic, +

a(n)=1/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence znqknr55d5sam

1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, more...

integer, non-monotonic, +

a(n)=Ω(2+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence e0qej52jty45g

1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, more...

integer, non-monotonic, +

a(n)=Ω(3+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence 2hprncc43lqz

1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, more...

integer, non-monotonic, +

a(n)=Ω(5+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence blilubluyx1sf

1, 2, 2, 3, 2, 3, 2, 4, 3, 3, 2, 4, 2, 3, 3, 5, 2, 4, 2, 4, 3, 3, 2, 5, 3, 3, 4, 4, 2, 4, 2, 6, 3, 3, 3, 5, 2, 3, 3, 5, 2, 4, 2, 4, 4, 3, 2, 6, 3, 4, more...

integer, non-monotonic, +, A073093

a(n)=1+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence lzkdzbmj4yvdc

1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, 4, more...

integer, non-monotonic, +

a(n)=Ω(7+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence 14wiwmbnymq4i

2, 1, 1, 0, 1, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, -2, 1, -1, 1, -1, 0, 0, 1, -2, 0, 0, -1, -1, 1, -1, 1, -3, 0, 0, 0, -2, 1, 0, 0, -2, 1, -1, 1, -1, -1, 0, 1, -3, 0, -1, more...

integer, non-monotonic, +-

a(n)=2-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence ni51iysrf5qyf

2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, more...

integer, non-monotonic, +

a(n)=Ω(4+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence ueyo5gilww2ud

2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, 4, 2, 2, 1, more...

integer, non-monotonic, +

a(n)=Ω(10+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence 1ek3hu5u0nw0

2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, more...

integer, non-monotonic, +

a(n)=Ω(6+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence gigm4fc4pk4kc

2, 2, 1, 2, 1, 2, 0.6666666667, 1, 1, 2, 0.6666666667, 2, 1, 1, 0.5, 2, 0.6666666667, 2, 0.6666666667, 1, 1, 2, 0.5, 1, 1, more...

decimal, non-monotonic, +

a(n)=2/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence beavxya3fjd0l

2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, 4, 2, 2, more...

integer, non-monotonic, +

a(n)=Ω(9+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence jfqniaxxjra4f

2, 3, 3, 4, 3, 4, 3, 5, 4, 4, 3, 5, 3, 4, 4, 6, 3, 5, 3, 5, 4, 4, 3, 6, 4, 4, 5, 5, 3, 5, 3, 7, 4, 4, 4, 6, 3, 4, 4, 6, 3, 5, 3, 5, 5, 4, 3, 7, 4, 5, more...

integer, non-monotonic, +

a(n)=2+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence mxxvdt0aneere

3, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, -1, 2, 0, 2, 0, 1, 1, 2, -1, 1, 1, 0, 0, 2, 0, 2, -2, 1, 1, 1, -1, 2, 1, 1, -1, 2, 0, 2, 0, 0, 1, 2, -2, 1, 0, more...

integer, non-monotonic, +-

a(n)=3-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 5eylnco1wjcvh

3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, 2, 3, 1, 4, 2, 4, 2, more...

integer, non-monotonic, +

a(n)=Ω(8+n)
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence gmmxmcxfutubl

3, 3, 1.5, 3, 1.5, 3, 1, 1.5, 1.5, 3, 1, 3, 1.5, 1.5, 0.75, 3, 1, 3, 1, 1.5, 1.5, 3, 0.75, 1.5, 1.5, more...

decimal, non-monotonic, +

a(n)=3/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence ytoaxv3nk2k2k

3, 4, 4, 5, 4, 5, 4, 6, 5, 5, 4, 6, 4, 5, 5, 7, 4, 6, 4, 6, 5, 5, 4, 7, 5, 5, 6, 6, 4, 6, 4, 8, 5, 5, 5, 7, 4, 5, 5, 7, 4, 6, 4, 6, 6, 5, 4, 8, 5, 6, more...

integer, non-monotonic, +

a(n)=3+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence mpqntxd25wo5o

3.1415926536, 2.1415926536, 2.1415926536, 1.1415926536, 2.1415926536, 1.1415926536, 2.1415926536, 0.1415926536, 1.1415926536, 1.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 1.1415926536, 1.1415926536, -0.8584073464, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 1.1415926536, 1.1415926536, 2.1415926536, -0.8584073464, 1.1415926536, more...

decimal, non-monotonic, +-

a(n)=π-Ω(n)
π=3.141...
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 2qvk55xkov3bm

3.1415926536, 3.1415926536, 1.5707963268, 3.1415926536, 1.5707963268, 3.1415926536, 1.0471975512, 1.5707963268, 1.5707963268, 3.1415926536, 1.0471975512, 3.1415926536, 1.5707963268, 1.5707963268, 0.7853981634, 3.1415926536, 1.0471975512, 3.1415926536, 1.0471975512, 1.5707963268, 1.5707963268, 3.1415926536, 0.7853981634, 1.5707963268, 1.5707963268, more...

decimal, non-monotonic, +

a(n)=π/Ω(n)
π=3.141...
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence cfyoaifbtfwbm

3.1415926536, 4.1415926536, 4.1415926536, 5.1415926536, 4.1415926536, 5.1415926536, 4.1415926536, 6.1415926536, 5.1415926536, 5.1415926536, 4.1415926536, 6.1415926536, 4.1415926536, 5.1415926536, 5.1415926536, 7.1415926536, 4.1415926536, 6.1415926536, 4.1415926536, 6.1415926536, 5.1415926536, 5.1415926536, 4.1415926536, 7.1415926536, 5.1415926536, more...

decimal, non-monotonic, +

a(n)=π+Ω(n)
π=3.141...
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence nswl1oz214jji

4, 3, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 3, 2, 2, 0, 3, 1, 3, 1, 2, 2, 3, 0, 2, 2, 1, 1, 3, 1, 3, -1, 2, 2, 2, 0, 3, 2, 2, 0, 3, 1, 3, 1, 1, 2, 3, -1, 2, 1, more...

integer, non-monotonic, +-

a(n)=4-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence kc5ovhvpiq5x

4, 4, 2, 4, 2, 4, 1.3333333333, 2, 2, 4, 1.3333333333, 4, 2, 2, 1, 4, 1.3333333333, 4, 1.3333333333, 2, 2, 4, 1, 2, 2, more...

decimal, non-monotonic, +

a(n)=4/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence 2atrsofqpmd1d

4, 5, 5, 6, 5, 6, 5, 7, 6, 6, 5, 7, 5, 6, 6, 8, 5, 7, 5, 7, 6, 6, 5, 8, 6, 6, 7, 7, 5, 7, 5, 9, 6, 6, 6, 8, 5, 6, 6, 8, 5, 7, 5, 7, 7, 6, 5, 9, 6, 7, more...

integer, non-monotonic, +

a(n)=4+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence yqwcyg4r2ftyg

5, 4, 4, 3, 4, 3, 4, 2, 3, 3, 4, 2, 4, 3, 3, 1, 4, 2, 4, 2, 3, 3, 4, 1, 3, 3, 2, 2, 4, 2, 4, 0, 3, 3, 3, 1, 4, 3, 3, 1, 4, 2, 4, 2, 2, 3, 4, 0, 3, 2, more...

integer, non-monotonic, +

a(n)=5-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence lzg55hrz2osae

5, 5, 2.5, 5, 2.5, 5, 1.6666666667, 2.5, 2.5, 5, 1.6666666667, 5, 2.5, 2.5, 1.25, 5, 1.6666666667, 5, 1.6666666667, 2.5, 2.5, 5, 1.25, 2.5, 2.5, more...

decimal, non-monotonic, +

a(n)=5/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence fud4b5ubd4xul

5, 6, 6, 7, 6, 7, 6, 8, 7, 7, 6, 8, 6, 7, 7, 9, 6, 8, 6, 8, 7, 7, 6, 9, 7, 7, 8, 8, 6, 8, 6, 10, 7, 7, 7, 9, 6, 7, 7, 9, 6, 8, 6, 8, 8, 7, 6, 10, 7, 8, more...

integer, non-monotonic, +

a(n)=5+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 5qxp3tvtozzjf

6, 5, 5, 4, 5, 4, 5, 3, 4, 4, 5, 3, 5, 4, 4, 2, 5, 3, 5, 3, 4, 4, 5, 2, 4, 4, 3, 3, 5, 3, 5, 1, 4, 4, 4, 2, 5, 4, 4, 2, 5, 3, 5, 3, 3, 4, 5, 1, 4, 3, more...

integer, non-monotonic, +

a(n)=6-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence qk0dimxin1pcg

6, 6, 3, 6, 3, 6, 2, 3, 3, 6, 2, 6, 3, 3, 1.5, 6, 2, 6, 2, 3, 3, 6, 1.5, 3, 3, more...

decimal, non-monotonic, +

a(n)=6/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence yeptdndmrlk0d

6, 7, 7, 8, 7, 8, 7, 9, 8, 8, 7, 9, 7, 8, 8, 10, 7, 9, 7, 9, 8, 8, 7, 10, 8, 8, 9, 9, 7, 9, 7, 11, 8, 8, 8, 10, 7, 8, 8, 10, 7, 9, 7, 9, 9, 8, 7, 11, 8, 9, more...

integer, non-monotonic, +

a(n)=6+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence wyeiuc0uyyyqp

7, 6, 6, 5, 6, 5, 6, 4, 5, 5, 6, 4, 6, 5, 5, 3, 6, 4, 6, 4, 5, 5, 6, 3, 5, 5, 4, 4, 6, 4, 6, 2, 5, 5, 5, 3, 6, 5, 5, 3, 6, 4, 6, 4, 4, 5, 6, 2, 5, 4, more...

integer, non-monotonic, +

a(n)=7-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence qyqegyjryn4ne

7, 7, 3.5, 7, 3.5, 7, 2.3333333333, 3.5, 3.5, 7, 2.3333333333, 7, 3.5, 3.5, 1.75, 7, 2.3333333333, 7, 2.3333333333, 3.5, 3.5, 7, 1.75, 3.5, 3.5, more...

decimal, non-monotonic, +

a(n)=7/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence ery0awid4wgaf

7, 8, 8, 9, 8, 9, 8, 10, 9, 9, 8, 10, 8, 9, 9, 11, 8, 10, 8, 10, 9, 9, 8, 11, 9, 9, 10, 10, 8, 10, 8, 12, 9, 9, 9, 11, 8, 9, 9, 11, 8, 10, 8, 10, 10, 9, 8, 12, 9, 10, more...

integer, non-monotonic, +

a(n)=7+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence ai1p4eo12cy5n

8, 7, 7, 6, 7, 6, 7, 5, 6, 6, 7, 5, 7, 6, 6, 4, 7, 5, 7, 5, 6, 6, 7, 4, 6, 6, 5, 5, 7, 5, 7, 3, 6, 6, 6, 4, 7, 6, 6, 4, 7, 5, 7, 5, 5, 6, 7, 3, 6, 5, more...

integer, non-monotonic, +

a(n)=8-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence b5ebmzhhwudcp

8, 8, 4, 8, 4, 8, 2.6666666667, 4, 4, 8, 2.6666666667, 8, 4, 4, 2, 8, 2.6666666667, 8, 2.6666666667, 4, 4, 8, 2, 4, 4, more...

decimal, non-monotonic, +

a(n)=8/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence e4ijyvvxuxtdc

8, 9, 9, 10, 9, 10, 9, 11, 10, 10, 9, 11, 9, 10, 10, 12, 9, 11, 9, 11, 10, 10, 9, 12, 10, 10, 11, 11, 9, 11, 9, 13, 10, 10, 10, 12, 9, 10, 10, 12, 9, 11, 9, 11, 11, 10, 9, 13, 10, 11, more...

integer, non-monotonic, +

a(n)=8+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 3wewft31a2ned

9, 8, 8, 7, 8, 7, 8, 6, 7, 7, 8, 6, 8, 7, 7, 5, 8, 6, 8, 6, 7, 7, 8, 5, 7, 7, 6, 6, 8, 6, 8, 4, 7, 7, 7, 5, 8, 7, 7, 5, 8, 6, 8, 6, 6, 7, 8, 4, 7, 6, more...

integer, non-monotonic, +

a(n)=9-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence a4ydl3lx4f5xi

9, 9, 4.5, 9, 4.5, 9, 3, 4.5, 4.5, 9, 3, 9, 4.5, 4.5, 2.25, 9, 3, 9, 3, 4.5, 4.5, 9, 2.25, 4.5, 4.5, more...

decimal, non-monotonic, +

a(n)=9/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence efd0h1vmczzug

9, 10, 10, 11, 10, 11, 10, 12, 11, 11, 10, 12, 10, 11, 11, 13, 10, 12, 10, 12, 11, 11, 10, 13, 11, 11, 12, 12, 10, 12, 10, 14, 11, 11, 11, 13, 10, 11, 11, 13, 10, 12, 10, 12, 12, 11, 10, 14, 11, 12, more...

integer, non-monotonic, +

a(n)=9+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence 0escimhnt41hc

10, 9, 9, 8, 9, 8, 9, 7, 8, 8, 9, 7, 9, 8, 8, 6, 9, 7, 9, 7, 8, 8, 9, 6, 8, 8, 7, 7, 9, 7, 9, 5, 8, 8, 8, 6, 9, 8, 8, 6, 9, 7, 9, 7, 7, 8, 9, 5, 8, 7, more...

integer, non-monotonic, +

a(n)=10-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence r3sgrlzxxunuj

10, 10, 5, 10, 5, 10, 3.3333333333, 5, 5, 10, 3.3333333333, 10, 5, 5, 2.5, 10, 3.3333333333, 10, 3.3333333333, 5, 5, 10, 2.5, 5, 5, more...

decimal, non-monotonic, +

a(n)=10/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence nqryghob1ovyn

10, 11, 11, 12, 11, 12, 11, 13, 12, 12, 11, 13, 11, 12, 12, 14, 11, 13, 11, 13, 12, 12, 11, 14, 12, 12, 13, 13, 11, 13, 11, 15, 12, 12, 12, 14, 11, 12, 12, 14, 11, 13, 11, 13, 13, 12, 11, 15, 12, 13, more...

integer, non-monotonic, +

a(n)=10+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence gxrmuklpbqwpk

0, 1, 2, 2, 2, 2, 3, 4, 3, 2, 3, 3, 2, 3, 5, 4, 3, 3, 3, 4, 3, 2, 4, 5, 3, 4, 5, 3, 3, 3, 5, 6, 3, 3, 5, 4, 2, 3, 5, 4, 3, 3, 3, 5, 4, 2, 5, 6, 4, 4, more...

integer, non-monotonic, +, A069904

a(n)=Ω(∑(n))
∑(a)=partial sums of a
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence 4kyr3rdgrxadb

0, 1, 2, 4, 5, 7, 8, 11, 13, 15, 16, 19, 20, 22, 24, 28, 29, 32, 33, 36, 38, 40, 41, 45, 47, 49, 52, 55, 56, 59, 60, 65, 67, 69, 71, 75, 76, 78, 80, 84, 85, 88, 89, 92, 95, 97, 98, 103, 105, 108, more...

integer, strictly-monotonic, +

a(n)=∑(Ω(n))
Ω(n)=max factorization terms
∑(a)=partial sums of a
n≥1
3 operations
Prime

Sequence 3a5gi1i0rvd2h

1, 0, 1, -1, 1, -1, 2, -1, 0, -1, 2, -2, 1, 0, 2, -3, 2, -2, 2, -1, 0, -1, 3, -2, 0, 1, 0, -2, 2, -2, 4, -3, 0, 0, 2, -3, 1, 0, 2, -3, 2, -2, 2, 0, -1, -1, 4, -3, 1, -1, more...

integer, non-monotonic, +-, A076191

a(n)=Δ(Ω(n))
Ω(n)=max factorization terms
Δ(a)=differences of a
n≥1
3 operations
Prime

Sequence h2t1cb3jv0efc

1, 1, 2, 2, 4, 4, 12, 24, 48, 48, 144, 144, 288, 576, 2304, 2304, 6912, 6912, 20736, 41472, 82944, 82944, 331776, 663552, 1327104, 3981312, 11943936, 11943936, 35831808, 35831808, 179159040, 358318080, 716636160, 1433272320, 5733089280, 5733089280, 11466178560, 22932357120, 91729428480, 91729428480, more...

integer, monotonic, +

a(n)=∏(Ω(n))
Ω(n)=max factorization terms
∏(a)=partial products of a
n≥2
3 operations
Prime

Sequence sck2ifpk2ptqe

-1, -1, -2, -2, -4, -4, -6, -5, -7, -8, -10, -9, -12, -12, -13, -12, -16, -15, -18, -17, -19, -20, -22, -20, -23, -24, -24, -25, -28, -27, -30, -27, -31, -32, -33, -32, -36, -36, -37, -36, -40, -39, -42, -41, -42, -44, -46, -43, -47, -47, more...

integer, non-monotonic, -

a(n)=Ω(n)-n
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence kjs0ogijwycgg

0, 0.5, 0.3333333333, 0.5, 0.2, 0.3333333333, 0.1428571429, 0.375, 0.2222222222, 0.2, 0.0909090909, 0.25, 0.0769230769, 0.1428571429, 0.1333333333, 0.25, 0.0588235294, 0.1666666667, 0.0526315789, 0.15, 0.0952380952, 0.0909090909, 0.0434782609, 0.1666666667, 0.08, more...

decimal, non-monotonic, +

a(n)=Ω(n)/n
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence y1dqnlzd3ukkd

0, 2, 3, 8, 5, 12, 7, 24, 18, 20, 11, 36, 13, 28, 30, 64, 17, 54, 19, 60, 42, 44, 23, 96, 50, 52, 81, 84, 29, 90, 31, 160, 66, 68, 70, 144, 37, 76, 78, 160, 41, 126, 43, 132, 135, 92, 47, 240, 98, 150, more...

integer, non-monotonic, +, A066959

a(n)=n*Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence yyqfaomiy0mop

1, 1, 2, 2, 4, 4, 6, 5, 7, 8, 10, 9, 12, 12, 13, 12, 16, 15, 18, 17, 19, 20, 22, 20, 23, 24, 24, 25, 28, 27, 30, 27, 31, 32, 33, 32, 36, 36, 37, 36, 40, 39, 42, 41, 42, 44, 46, 43, 47, 47, more...

integer, non-monotonic, +, A069345

a(n)=n-Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence b45t5senv3kgm

1, 3, 4, 6, 6, 8, 8, 11, 11, 12, 12, 15, 14, 16, 17, 20, 18, 21, 20, 23, 23, 24, 24, 28, 27, 28, 30, 31, 30, 33, 32, 37, 35, 36, 37, 40, 38, 40, 41, 44, 42, 45, 44, 47, 48, 48, 48, 53, 51, 53, more...

integer, non-monotonic, +, A064800

a(n)=n+Ω(n)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence uogqytykll4gn

2, 3, 2, 5, 3, 7, 2.6666666667, 4.5, 5, 11, 4, 13, 7, 7.5, 4, 17, 6, 19, 6.6666666667, 10.5, 11, 23, 6, 12.5, 13, more...

decimal, non-monotonic, +

a(n)=n/Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime

Sequence 3rz4icuxf4tdi

0, -2, -2, -4, -2, -4, -2, -6, -4, -4, -2, -6, -2, -4, -4, -8, -2, -6, -2, -6, -4, -4, -2, -8, -4, -4, -6, -6, -2, -6, -2, -10, -4, -4, -4, -8, -2, -4, -4, -8, -2, -6, -2, -6, -6, -4, -2, -10, -4, -6, more...

integer, non-monotonic, -

a(n)=-Ω(n²)
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence w4mma1qyox1pd

0, -1, -1, -4, -1, -4, -1, -9, -4, -4, -1, -9, -1, -4, -4, -16, -1, -9, -1, -9, -4, -4, -1, -16, -4, -4, -9, -9, -1, -9, -1, -25, -4, -4, -4, -16, -1, -4, -4, -16, -1, -9, -1, -9, -9, -4, -1, -25, -4, -9, more...

integer, non-monotonic, -

a(n)=-Ω(n)²
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence xm0dss2wuljab

0, 4, 4, 16, 4, 16, 4, 36, 16, 16, 4, 36, 4, 16, 16, 64, 4, 36, 4, 36, 16, 16, 4, 64, 16, 16, 36, 36, 4, 36, 4, 100, 16, 16, 16, 64, 4, 16, 16, 64, 4, 36, 4, 36, 36, 16, 4, 100, 16, 36, more...

integer, non-monotonic, +

a(n)=Ω(n²)²
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence ww1s35hlwpp2d

0, 0, 0.6931471806, 0, 0.6931471806, 0, 1.0986122887, 0.6931471806, 0.6931471806, 0, 1.0986122887, 0, 0.6931471806, 0.6931471806, 1.3862943611, 0, 1.0986122887, 0, 1.0986122887, 0.6931471806, 0.6931471806, 0, 1.3862943611, 0.6931471806, 0.6931471806, more...

decimal, non-monotonic, +

a(n)=log(Ω(n))
Ω(n)=max factorization terms
n≥2
3 operations
Prime

Sequence i400ravhhic4m

0, 1, 1, 1.4142135624, 1, 1.4142135624, 1, 1.7320508076, 1.4142135624, 1.4142135624, 1, 1.7320508076, 1, 1.4142135624, 1.4142135624, 2, 1, 1.7320508076, 1, 1.7320508076, 1.4142135624, 1.4142135624, 1, 2, 1.4142135624, more...

decimal, non-monotonic, +

a(n)=sqrt(Ω(n))
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence gjje3aeqtfjed

1, 2.7182818285, 2.7182818285, 7.3890560989, 2.7182818285, 7.3890560989, 2.7182818285, 20.0855369232, 7.3890560989, 7.3890560989, 2.7182818285, 20.0855369232, 2.7182818285, 7.3890560989, 7.3890560989, 54.5981500331, 2.7182818285, 20.0855369232, 2.7182818285, 20.0855369232, 7.3890560989, 7.3890560989, 2.7182818285, 54.5981500331, 7.3890560989, more...

decimal, non-monotonic, +

a(n)=exp(Ω(n))
Ω(n)=max factorization terms
n≥1
3 operations
Prime

Sequence z1mwdmwtihmib

0, -1, -1, -1, -1, -1, -1, -2, -1, -1, -1, -2, -1, -1, -1, -1, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -2, -2, -1, -2, -1, -3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -2, -1, -1, -3, -1, -2, more...

integer, non-monotonic, -

a(n)=-stern(Ω(n))
Ω(n)=max factorization terms
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Prime

Sequence ui0fgorw4dm5g

0, 0, -1, -2, -4, -5, -7, -8, -11, -13, -15, -16, -19, -20, -22, -24, -28, -29, -32, -33, -36, -38, -40, -41, -45, -47, -49, -52, -55, -56, -59, -60, -65, -67, -69, -71, -75, -76, -78, -80, -84, -85, -88, -89, -92, -95, -97, -98, -103, -105, more...

integer, monotonic, -

a(n)=a(n-1)-Ω(n)
a(0)=0
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence h51uebvtfpfmp

0, 0, -1, 0, -1, -1, -1, 0, -2, -1, -1, -1, -1, -1, -2, 0, -1, -2, -1, -1, -3, -1, -1, -1, -1, -1, -3, -1, -1, -2, -1, 0, -2, -1, -2, -2, -1, -1, -2, -1, -1, -3, -1, -1, -3, -1, -2, -1, -2, -1, more...

integer, non-monotonic, -

a(n)=-Ω(stern(n))
stern(n)=Stern-Brocot sequence
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence q0r2gazc2dunh

0, 0, 1, 0, 1, 1, 1, 0, 4, 1, 1, 1, 1, 1, 4, 0, 1, 4, 1, 1, 9, 1, 1, 1, 1, 1, 9, 1, 1, 4, 1, 0, 4, 1, 4, 4, 1, 1, 4, 1, 1, 9, 1, 1, 9, 1, 4, 1, 4, 1, more...

integer, non-monotonic, +

a(n)=Ω(stern(n))²
stern(n)=Stern-Brocot sequence
Ω(n)=max factorization terms
n≥1
4 operations
Prime

Sequence rh0jotu5w1vef

0, 0, 1, 0, 2, -1, 3, -2, 5, -3, 5, -4, 7, -6, 8, -6, 10, -9, 12, -11, 14, -12, 14, -13, 17, -15, 17, -14, 17, -16, 19, -18, 23, -21, 23, -21, 25, -24, 26, -24, 28, -27, 30, -29, 32, -29, 31, -30, 35, -33, more...

integer, non-monotonic, +-

a(n)=Ω(n)-a(n-1)
a(0)=0
Ω(n)=max factorization terms
n≥0
4 operations
Prime

Sequence fjjld4jkwanld

0, 0, 1, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 1, 1, 2, 2, 2, 4, 2, 3, 3, 1, 2, 2, 1, 2, 2, 2, 3, 3, 3, 1, 5, 1, 2, 2, 2, 4, 2, 2, 2, 4, 2, 3, 3, 1, 2, 2, 1, more...

integer, non-monotonic, +

a(n)=Ω(n-a(n-1))
a(0)=0
Ω(n)=max factorization terms
n≥0
4 operations
Prime

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