Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 117317. [0] [1] [2] [3] [4] ... [1173]

Sequence okvxpoucbqnai

1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, more...

integer, non-monotonic, +, A000005

a(n)=τ(n)
τ(n)=number of divisors of n
n≥1
2 operations
Prime

Sequence xs5ftugsnt13o

-1, -2, -2, -3, -2, -4, -2, -4, -3, -4, -2, -6, -2, -4, -4, -5, -2, -6, -2, -6, -4, -4, -2, -8, -3, -4, -4, -6, -2, -8, -2, -6, -4, -4, -4, -9, -2, -4, -4, -8, -2, -8, -2, -6, -6, -4, -2, -10, -3, -6, more...

integer, non-monotonic, -

a(n)=-τ(n)
τ(n)=number of divisors of n
n≥1
3 operations
Prime

Sequence eltyaqg32p5ck

1, 3, 3, 5, 3, 9, 3, 7, 5, 9, 3, 15, 3, 9, 9, 9, 3, 15, 3, 15, 9, 9, 3, 21, 5, 9, 7, 15, 3, 27, 3, 11, 9, 9, 9, 25, 3, 9, 9, 21, 3, 27, 3, 15, 15, 9, 3, 27, 5, 15, more...

integer, non-monotonic, +, A048691

a(n)=τ(n²)
τ(n)=number of divisors of n
n≥1
3 operations
Prime

Sequence bsv3lacrfornp

1, 4, 4, 9, 4, 16, 4, 16, 9, 16, 4, 36, 4, 16, 16, 25, 4, 36, 4, 36, 16, 16, 4, 64, 9, 16, 16, 36, 4, 64, 4, 36, 16, 16, 16, 81, 4, 16, 16, 64, 4, 64, 4, 36, 36, 16, 4, 100, 9, 36, more...

integer, non-monotonic, +, A035116

a(n)=τ(n)²
τ(n)=number of divisors of n
n≥1
3 operations
Prime

Sequence b3rflu2wpvl5b

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

integer, non-monotonic, +

a(n)=stern(τ(n))
τ(n)=number of divisors of n
stern(n)=Stern-Brocot sequence
n≥1
3 operations
Prime

Sequence zzdntneg3uhqi

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

integer, non-monotonic, +

a(n)=τ(stern(n))
stern(n)=Stern-Brocot sequence
τ(n)=number of divisors of n
n≥1
3 operations
Prime

Sequence 1fcrhdaizsozj

-9, -8, -8, -7, -8, -6, -8, -6, -7, -6, -8, -4, -8, -6, -6, -5, -8, -4, -8, -4, -6, -6, -8, -2, -7, -6, -6, -4, -8, -2, -8, -4, -6, -6, -6, -1, -8, -6, -6, -2, -8, -2, -8, -4, -4, -6, -8, 0, -7, -4, more...

integer, non-monotonic, -

a(n)=τ(n)-10
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ntbbeent133wf

-8, -7, -7, -6, -7, -5, -7, -5, -6, -5, -7, -3, -7, -5, -5, -4, -7, -3, -7, -3, -5, -5, -7, -1, -6, -5, -5, -3, -7, -1, -7, -3, -5, -5, -5, 0, -7, -5, -5, -1, -7, -1, -7, -3, -3, -5, -7, 1, -6, -3, more...

integer, non-monotonic, +-

a(n)=τ(n)-9
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ry4jwmeafi0jd

-7, -6, -6, -5, -6, -4, -6, -4, -5, -4, -6, -2, -6, -4, -4, -3, -6, -2, -6, -2, -4, -4, -6, 0, -5, -4, -4, -2, -6, 0, -6, -2, -4, -4, -4, 1, -6, -4, -4, 0, -6, 0, -6, -2, -2, -4, -6, 2, -5, -2, more...

integer, non-monotonic, +-

a(n)=τ(n)-8
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence aigj5vdn5zgvb

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

integer, non-monotonic, +-

a(n)=τ(n)-7
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence lgp331peligqe

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

integer, non-monotonic, +-

a(n)=τ(n)-6
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence aa35uypmjkgei

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

integer, non-monotonic, +-

a(n)=τ(n)-5
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence jxwoojuaxi2rk

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

integer, non-monotonic, +-

a(n)=τ(n)-4
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 0yc5urylka5fi

-2.1415926536, -1.1415926536, -1.1415926536, -0.1415926536, -1.1415926536, 0.8584073464, -1.1415926536, 0.8584073464, -0.1415926536, 0.8584073464, -1.1415926536, 2.8584073464, -1.1415926536, 0.8584073464, 0.8584073464, 1.8584073464, -1.1415926536, 2.8584073464, -1.1415926536, 2.8584073464, 0.8584073464, 0.8584073464, -1.1415926536, 4.8584073464, -0.1415926536, more...

decimal, non-monotonic, +-

a(n)=τ(n)-π
τ(n)=number of divisors of n
π=3.141...
n≥1
4 operations
Prime

Sequence ugxwjzk0wilql

-2, -1, -1, 0, -1, 1, -1, 1, 0, 1, -1, 3, -1, 1, 1, 2, -1, 3, -1, 3, 1, 1, -1, 5, 0, 1, 1, 3, -1, 5, -1, 3, 1, 1, 1, 6, -1, 1, 1, 5, -1, 5, -1, 3, 3, 1, -1, 7, 0, 3, more...

integer, non-monotonic, +-

a(n)=τ(n)-3
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence mym0frvnx04rc

-1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 4, 0, 2, 2, 3, 0, 4, 0, 4, 2, 2, 0, 6, 1, 2, 2, 4, 0, 6, 0, 4, 2, 2, 2, 7, 0, 2, 2, 6, 0, 6, 0, 4, 4, 2, 0, 8, 1, 4, more...

integer, non-monotonic, +-

a(n)=τ(n)-2
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence di2ldswnuu3wc

0, -1, -1, -2, -1, -3, -1, -3, -2, -3, -1, -5, -1, -3, -3, -4, -1, -5, -1, -5, -3, -3, -1, -7, -2, -3, -3, -5, -1, -7, -1, -5, -3, -3, -3, -8, -1, -3, -3, -7, -1, -7, -1, -5, -5, -3, -1, -9, -2, -5, more...

integer, non-monotonic, -

a(n)=1-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence bj1ube1vg3h4b

0, 1, 1, 2, 1, 3, 1, 3, 2, 3, 1, 5, 1, 3, 3, 4, 1, 5, 1, 5, 3, 3, 1, 7, 2, 3, 3, 5, 1, 7, 1, 5, 3, 3, 3, 8, 1, 3, 3, 7, 1, 7, 1, 5, 5, 3, 1, 9, 2, 5, more...

integer, non-monotonic, +

a(n)=τ(n)-1
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence cdjcrakcm040b

0.1, 0.2, 0.2, 0.3, 0.2, 0.4, 0.2, 0.4, 0.3, 0.4, 0.2, 0.6, 0.2, 0.4, 0.4, 0.5, 0.2, 0.6, 0.2, 0.6, 0.4, 0.4, 0.2, 0.8, 0.3, more...

decimal, non-monotonic, +

a(n)=τ(n)/10
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence kj2tdqpptgluh

0.1111111111, 0.2222222222, 0.2222222222, 0.3333333333, 0.2222222222, 0.4444444444, 0.2222222222, 0.4444444444, 0.3333333333, 0.4444444444, 0.2222222222, 0.6666666667, 0.2222222222, 0.4444444444, 0.4444444444, 0.5555555556, 0.2222222222, 0.6666666667, 0.2222222222, 0.6666666667, 0.4444444444, 0.4444444444, 0.2222222222, 0.8888888889, 0.3333333333, more...

decimal, non-monotonic, +

a(n)=τ(n)/9
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ax3ieupcxc33n

0.125, 0.25, 0.25, 0.375, 0.25, 0.5, 0.25, 0.5, 0.375, 0.5, 0.25, 0.75, 0.25, 0.5, 0.5, 0.625, 0.25, 0.75, 0.25, 0.75, 0.5, 0.5, 0.25, 1, 0.375, more...

decimal, non-monotonic, +

a(n)=τ(n)/8
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence flkrp2dho5jwm

0.1428571429, 0.2857142857, 0.2857142857, 0.4285714286, 0.2857142857, 0.5714285714, 0.2857142857, 0.5714285714, 0.4285714286, 0.5714285714, 0.2857142857, 0.8571428571, 0.2857142857, 0.5714285714, 0.5714285714, 0.7142857143, 0.2857142857, 0.8571428571, 0.2857142857, 0.8571428571, 0.5714285714, 0.5714285714, 0.2857142857, 1.1428571429, 0.4285714286, more...

decimal, non-monotonic, +

a(n)=τ(n)/7
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence amglldldi4bop

0.1666666667, 0.3333333333, 0.3333333333, 0.5, 0.3333333333, 0.6666666667, 0.3333333333, 0.6666666667, 0.5, 0.6666666667, 0.3333333333, 1, 0.3333333333, 0.6666666667, 0.6666666667, 0.8333333333, 0.3333333333, 1, 0.3333333333, 1, 0.6666666667, 0.6666666667, 0.3333333333, 1.3333333333, 0.5, more...

decimal, non-monotonic, +

a(n)=τ(n)/6
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence igyteuiycjpym

0.2, 0.4, 0.4, 0.6, 0.4, 0.8, 0.4, 0.8, 0.6, 0.8, 0.4, 1.2, 0.4, 0.8, 0.8, 1, 0.4, 1.2, 0.4, 1.2, 0.8, 0.8, 0.4, 1.6, 0.6, more...

decimal, non-monotonic, +

a(n)=τ(n)/5
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence t1urwjgvfo5rf

0.25, 0.5, 0.5, 0.75, 0.5, 1, 0.5, 1, 0.75, 1, 0.5, 1.5, 0.5, 1, 1, 1.25, 0.5, 1.5, 0.5, 1.5, 1, 1, 0.5, 2, 0.75, more...

decimal, non-monotonic, +

a(n)=τ(n)/4
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence qglso4yb1i4uo

0.3183098862, 0.6366197724, 0.6366197724, 0.9549296586, 0.6366197724, 1.2732395447, 0.6366197724, 1.2732395447, 0.9549296586, 1.2732395447, 0.6366197724, 1.9098593171, 0.6366197724, 1.2732395447, 1.2732395447, 1.5915494309, 0.6366197724, 1.9098593171, 0.6366197724, 1.9098593171, 1.2732395447, 1.2732395447, 0.6366197724, 2.5464790895, 0.9549296586, more...

decimal, non-monotonic, +

a(n)=τ(n)/π
τ(n)=number of divisors of n
π=3.141...
n≥1
4 operations
Prime

Sequence dmf530jxiyeop

0.3333333333, 0.6666666667, 0.6666666667, 1, 0.6666666667, 1.3333333333, 0.6666666667, 1.3333333333, 1, 1.3333333333, 0.6666666667, 2, 0.6666666667, 1.3333333333, 1.3333333333, 1.6666666667, 0.6666666667, 2, 0.6666666667, 2, 1.3333333333, 1.3333333333, 0.6666666667, 2.6666666667, 1, more...

decimal, non-monotonic, +

a(n)=τ(n)/3
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence dupm3bprh0xjb

0.5, 1, 1, 1.5, 1, 2, 1, 2, 1.5, 2, 1, 3, 1, 2, 2, 2.5, 1, 3, 1, 3, 2, 2, 1, 4, 1.5, more...

decimal, non-monotonic, +

a(n)=τ(n)/2
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence jsmctg4evdoqm

1, 0, 0, -1, 0, -2, 0, -2, -1, -2, 0, -4, 0, -2, -2, -3, 0, -4, 0, -4, -2, -2, 0, -6, -1, -2, -2, -4, 0, -6, 0, -4, -2, -2, -2, -7, 0, -2, -2, -6, 0, -6, 0, -4, -4, -2, 0, -8, -1, -4, more...

integer, non-monotonic, +-

a(n)=2-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence hh1rjkia2uucd

1, 0.5, 0.5, 0.3333333333, 0.5, 0.25, 0.5, 0.25, 0.3333333333, 0.25, 0.5, 0.1666666667, 0.5, 0.25, 0.25, 0.2, 0.5, 0.1666666667, 0.5, 0.1666666667, 0.25, 0.25, 0.5, 0.125, 0.3333333333, more...

decimal, non-monotonic, +

a(n)=1/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence qf1rbc3ruqpcm

2, 1, 1, 0, 1, -1, 1, -1, 0, -1, 1, -3, 1, -1, -1, -2, 1, -3, 1, -3, -1, -1, 1, -5, 0, -1, -1, -3, 1, -5, 1, -3, -1, -1, -1, -6, 1, -1, -1, -5, 1, -5, 1, -3, -3, -1, 1, -7, 0, -3, more...

integer, non-monotonic, +-

a(n)=3-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence epunv3zvpfqbn

2, 1, 1, 0.6666666667, 1, 0.5, 1, 0.5, 0.6666666667, 0.5, 1, 0.3333333333, 1, 0.5, 0.5, 0.4, 1, 0.3333333333, 1, 0.3333333333, 0.5, 0.5, 1, 0.25, 0.6666666667, more...

decimal, non-monotonic, +

a(n)=2/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 5t2n4mra2ac3l

2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, more...

integer, non-monotonic, +

a(n)=τ(2+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence hmfgwbx4obhwd

2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, more...

integer, non-monotonic, +

a(n)=τ(3+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence l4mygqf3btp1n

2, 3, 3, 4, 3, 5, 3, 5, 4, 5, 3, 7, 3, 5, 5, 6, 3, 7, 3, 7, 5, 5, 3, 9, 4, 5, 5, 7, 3, 9, 3, 7, 5, 5, 5, 10, 3, 5, 5, 9, 3, 9, 3, 7, 7, 5, 3, 11, 4, 7, more...

integer, non-monotonic, +

a(n)=1+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 51hmlqrtvfnyg

2, 3, 4, 4, 4, 6, 4, 5, 6, 6, 4, 8, 4, 6, 8, 6, 4, 9, 4, 8, 8, 6, 4, 10, 6, 6, 8, 8, 4, 12, 4, 7, 8, 6, 8, 12, 4, 6, 8, 10, 4, 12, 4, 8, 12, 6, 4, 12, 6, 9, more...

integer, non-monotonic, +, A099777

a(n)=τ(2*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence d2jzpbygxxqw

2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, more...

integer, non-monotonic, +

a(n)=τ(5+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence pdzafz21igmb

2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, more...

integer, non-monotonic, +

a(n)=τ(7+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence bggzfbxjttiyo

2, 4, 3, 6, 4, 6, 4, 8, 4, 8, 4, 9, 4, 8, 6, 10, 4, 8, 4, 12, 6, 8, 4, 12, 6, 8, 5, 12, 4, 12, 4, 12, 6, 8, 8, 12, 4, 8, 6, 16, 4, 12, 4, 12, 8, 8, 4, 15, 6, 12, more...

integer, non-monotonic, +

a(n)=τ(3*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence evb5kagecfafp

2, 4, 4, 6, 3, 8, 4, 8, 6, 6, 4, 12, 4, 8, 6, 10, 4, 12, 4, 9, 8, 8, 4, 16, 4, 8, 8, 12, 4, 12, 4, 12, 8, 8, 6, 18, 4, 8, 8, 12, 4, 16, 4, 12, 9, 8, 4, 20, 6, 8, more...

integer, non-monotonic, +

a(n)=τ(5*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ucuyqxavn03rj

2, 4, 4, 6, 4, 8, 3, 8, 6, 8, 4, 12, 4, 6, 8, 10, 4, 12, 4, 12, 6, 8, 4, 16, 6, 8, 8, 9, 4, 16, 4, 12, 8, 8, 6, 18, 4, 8, 8, 16, 4, 12, 4, 12, 12, 8, 4, 20, 4, 12, more...

integer, non-monotonic, +

a(n)=τ(7*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 5ovzqaw55q43j

2, 4, 4, 6, 4, 8, 4, 8, 6, 8, 4, 12, 4, 8, 8, 10, 4, 12, 4, 12, 8, 8, 4, 16, 6, 8, 8, 12, 4, 16, 4, 12, 8, 8, 8, 18, 4, 8, 8, 16, 4, 16, 4, 12, 12, 8, 4, 20, 6, 12, more...

integer, non-monotonic, +, A062011

a(n)=2*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence hdhh3mmtmhi2p

2.1415926536, 1.1415926536, 1.1415926536, 0.1415926536, 1.1415926536, -0.8584073464, 1.1415926536, -0.8584073464, 0.1415926536, -0.8584073464, 1.1415926536, -2.8584073464, 1.1415926536, -0.8584073464, -0.8584073464, -1.8584073464, 1.1415926536, -2.8584073464, 1.1415926536, -2.8584073464, -0.8584073464, -0.8584073464, 1.1415926536, -4.8584073464, 0.1415926536, more...

decimal, non-monotonic, +-

a(n)=π-τ(n)
π=3.141...
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence wsuhievdzdwln

3, 1.5, 1.5, 1, 1.5, 0.75, 1.5, 0.75, 1, 0.75, 1.5, 0.5, 1.5, 0.75, 0.75, 0.6, 1.5, 0.5, 1.5, 0.5, 0.75, 0.75, 1.5, 0.375, 1, more...

decimal, non-monotonic, +

a(n)=3/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence anltr23uj40rc

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

integer, non-monotonic, +-

a(n)=4-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence aq2kexnjcoxbg

3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, more...

integer, non-monotonic, +

a(n)=τ(4+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence pngzsyv4j2ztf

3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, 4, more...

integer, non-monotonic, +

a(n)=τ(9+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence 4o544be0oil1h

3, 4, 4, 5, 4, 6, 4, 6, 5, 6, 4, 8, 4, 6, 6, 7, 4, 8, 4, 8, 6, 6, 4, 10, 5, 6, 6, 8, 4, 10, 4, 8, 6, 6, 6, 11, 4, 6, 6, 10, 4, 10, 4, 8, 8, 6, 4, 12, 5, 8, more...

integer, non-monotonic, +

a(n)=2+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ggyo0yt0uopje

3, 4, 6, 5, 6, 8, 6, 6, 9, 8, 6, 10, 6, 8, 12, 7, 6, 12, 6, 10, 12, 8, 6, 12, 9, 8, 12, 10, 6, 16, 6, 8, 12, 8, 12, 15, 6, 8, 12, 12, 6, 16, 6, 10, 18, 8, 6, 14, 9, 12, more...

integer, non-monotonic, +

a(n)=τ(4*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence acooifyy511xh

3, 6, 4, 9, 6, 8, 6, 12, 5, 12, 6, 12, 6, 12, 8, 15, 6, 10, 6, 18, 8, 12, 6, 16, 9, 12, 6, 18, 6, 16, 6, 18, 8, 12, 12, 15, 6, 12, 8, 24, 6, 16, 6, 18, 10, 12, 6, 20, 9, 18, more...

integer, non-monotonic, +

a(n)=τ(9*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 0piha4jiwxwoo

3, 6, 6, 9, 6, 12, 6, 12, 9, 12, 6, 18, 6, 12, 12, 15, 6, 18, 6, 18, 12, 12, 6, 24, 9, 12, 12, 18, 6, 24, 6, 18, 12, 12, 12, 27, 6, 12, 12, 24, 6, 24, 6, 18, 18, 12, 6, 30, 9, 18, more...

integer, non-monotonic, +

a(n)=3*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence jcv2rojuonnri

3.1415926536, 1.5707963268, 1.5707963268, 1.0471975512, 1.5707963268, 0.7853981634, 1.5707963268, 0.7853981634, 1.0471975512, 0.7853981634, 1.5707963268, 0.5235987756, 1.5707963268, 0.7853981634, 0.7853981634, 0.6283185307, 1.5707963268, 0.5235987756, 1.5707963268, 0.5235987756, 0.7853981634, 0.7853981634, 1.5707963268, 0.3926990817, 1.0471975512, more...

decimal, non-monotonic, +

a(n)=π/τ(n)
π=3.141...
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence op3ojubyztqwh

3.1415926536, 6.2831853072, 6.2831853072, 9.4247779608, 6.2831853072, 12.5663706144, 6.2831853072, 12.5663706144, 9.4247779608, 12.5663706144, 6.2831853072, 18.8495559215, 6.2831853072, 12.5663706144, 12.5663706144, 15.7079632679, 6.2831853072, 18.8495559215, 6.2831853072, 18.8495559215, 12.5663706144, 12.5663706144, 6.2831853072, 25.1327412287, 9.4247779608, more...

decimal, non-monotonic, +

a(n)=π*τ(n)
π=3.141...
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence dd0cownocbego

4, 2, 2, 1.3333333333, 2, 1, 2, 1, 1.3333333333, 1, 2, 0.6666666667, 2, 1, 1, 0.8, 2, 0.6666666667, 2, 0.6666666667, 1, 1, 2, 0.5, 1.3333333333, more...

decimal, non-monotonic, +

a(n)=4/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence s0phton4swx3p

4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, more...

integer, non-monotonic, +

a(n)=τ(6+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence mcuatufnvwlrh

4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, 4, 2, more...

integer, non-monotonic, +

a(n)=τ(10+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence lj1omhnpsfaok

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

integer, non-monotonic, +-

a(n)=5-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence d21qqze5ypsjg

4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, more...

integer, non-monotonic, +

a(n)=τ(8+n)
τ(n)=number of divisors of n
n≥0
4 operations
Prime

Sequence tpksmf3uqg3ji

4, 5, 5, 6, 5, 7, 5, 7, 6, 7, 5, 9, 5, 7, 7, 8, 5, 9, 5, 9, 7, 7, 5, 11, 6, 7, 7, 9, 5, 11, 5, 9, 7, 7, 7, 12, 5, 7, 7, 11, 5, 11, 5, 9, 9, 7, 5, 13, 6, 9, more...

integer, non-monotonic, +

a(n)=3+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 3yx3mggpg0pue

4, 5, 8, 6, 8, 10, 8, 7, 12, 10, 8, 12, 8, 10, 16, 8, 8, 15, 8, 12, 16, 10, 8, 14, 12, 10, 16, 12, 8, 20, 8, 9, 16, 10, 16, 18, 8, 10, 16, 14, 8, 20, 8, 12, 24, 10, 8, 16, 12, 15, more...

integer, non-monotonic, +

a(n)=τ(8*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence rzp2ifgpf0r1f

4, 6, 6, 8, 8, 9, 8, 10, 8, 12, 8, 12, 8, 12, 12, 12, 8, 12, 8, 16, 12, 12, 8, 15, 12, 12, 10, 16, 8, 18, 8, 14, 12, 12, 16, 16, 8, 12, 12, 20, 8, 18, 8, 16, 16, 12, 8, 18, 12, 18, more...

integer, non-monotonic, +

a(n)=τ(6*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence kmbuaagfsf0rh

4, 6, 8, 8, 6, 12, 8, 10, 12, 9, 8, 16, 8, 12, 12, 12, 8, 18, 8, 12, 16, 12, 8, 20, 8, 12, 16, 16, 8, 18, 8, 14, 16, 12, 12, 24, 8, 12, 16, 15, 8, 24, 8, 16, 18, 12, 8, 24, 12, 12, more...

integer, non-monotonic, +

a(n)=τ(10*n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence p0hq30snscl3d

4, 8, 8, 12, 8, 16, 8, 16, 12, 16, 8, 24, 8, 16, 16, 20, 8, 24, 8, 24, 16, 16, 8, 32, 12, 16, 16, 24, 8, 32, 8, 24, 16, 16, 16, 36, 8, 16, 16, 32, 8, 32, 8, 24, 24, 16, 8, 40, 12, 24, more...

integer, non-monotonic, +

a(n)=4*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 3oc43qz1jrq2h

4.1415926536, 5.1415926536, 5.1415926536, 6.1415926536, 5.1415926536, 7.1415926536, 5.1415926536, 7.1415926536, 6.1415926536, 7.1415926536, 5.1415926536, 9.1415926536, 5.1415926536, 7.1415926536, 7.1415926536, 8.1415926536, 5.1415926536, 9.1415926536, 5.1415926536, 9.1415926536, 7.1415926536, 7.1415926536, 5.1415926536, 11.1415926536, 6.1415926536, more...

decimal, non-monotonic, +

a(n)=π+τ(n)
π=3.141...
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence hanjv5y1jlqke

5, 2.5, 2.5, 1.6666666667, 2.5, 1.25, 2.5, 1.25, 1.6666666667, 1.25, 2.5, 0.8333333333, 2.5, 1.25, 1.25, 1, 2.5, 0.8333333333, 2.5, 0.8333333333, 1.25, 1.25, 2.5, 0.625, 1.6666666667, more...

decimal, non-monotonic, +

a(n)=5/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ynmbrcguycfrf

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

integer, non-monotonic, +-

a(n)=6-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence cxcfvqunkfd5k

5, 6, 6, 7, 6, 8, 6, 8, 7, 8, 6, 10, 6, 8, 8, 9, 6, 10, 6, 10, 8, 8, 6, 12, 7, 8, 8, 10, 6, 12, 6, 10, 8, 8, 8, 13, 6, 8, 8, 12, 6, 12, 6, 10, 10, 8, 6, 14, 7, 10, more...

integer, non-monotonic, +

a(n)=4+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence fuxewqyklrhak

5, 10, 10, 15, 10, 20, 10, 20, 15, 20, 10, 30, 10, 20, 20, 25, 10, 30, 10, 30, 20, 20, 10, 40, 15, 20, 20, 30, 10, 40, 10, 30, 20, 20, 20, 45, 10, 20, 20, 40, 10, 40, 10, 30, 30, 20, 10, 50, 15, 30, more...

integer, non-monotonic, +

a(n)=5*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 44bbclw4spqek

6, 3, 3, 2, 3, 1.5, 3, 1.5, 2, 1.5, 3, 1, 3, 1.5, 1.5, 1.2, 3, 1, 3, 1, 1.5, 1.5, 3, 0.75, 2, more...

decimal, non-monotonic, +

a(n)=6/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence pzpgaij254jzh

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

integer, non-monotonic, +-

a(n)=7-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence fafzomzra0map

6, 7, 7, 8, 7, 9, 7, 9, 8, 9, 7, 11, 7, 9, 9, 10, 7, 11, 7, 11, 9, 9, 7, 13, 8, 9, 9, 11, 7, 13, 7, 11, 9, 9, 9, 14, 7, 9, 9, 13, 7, 13, 7, 11, 11, 9, 7, 15, 8, 11, more...

integer, non-monotonic, +

a(n)=5+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence drrhndv4bva5e

6, 12, 12, 18, 12, 24, 12, 24, 18, 24, 12, 36, 12, 24, 24, 30, 12, 36, 12, 36, 24, 24, 12, 48, 18, 24, 24, 36, 12, 48, 12, 36, 24, 24, 24, 54, 12, 24, 24, 48, 12, 48, 12, 36, 36, 24, 12, 60, 18, 36, more...

integer, non-monotonic, +

a(n)=6*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 5wzyhvrdjsolp

7, 3.5, 3.5, 2.3333333333, 3.5, 1.75, 3.5, 1.75, 2.3333333333, 1.75, 3.5, 1.1666666667, 3.5, 1.75, 1.75, 1.4, 3.5, 1.1666666667, 3.5, 1.1666666667, 1.75, 1.75, 3.5, 0.875, 2.3333333333, more...

decimal, non-monotonic, +

a(n)=7/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence zhjq251dac4ef

7, 6, 6, 5, 6, 4, 6, 4, 5, 4, 6, 2, 6, 4, 4, 3, 6, 2, 6, 2, 4, 4, 6, 0, 5, 4, 4, 2, 6, 0, 6, 2, 4, 4, 4, -1, 6, 4, 4, 0, 6, 0, 6, 2, 2, 4, 6, -2, 5, 2, more...

integer, non-monotonic, +-

a(n)=8-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence gbzj2qk4vf5hb

7, 8, 8, 9, 8, 10, 8, 10, 9, 10, 8, 12, 8, 10, 10, 11, 8, 12, 8, 12, 10, 10, 8, 14, 9, 10, 10, 12, 8, 14, 8, 12, 10, 10, 10, 15, 8, 10, 10, 14, 8, 14, 8, 12, 12, 10, 8, 16, 9, 12, more...

integer, non-monotonic, +

a(n)=6+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence dcvvgx0f43l1b

7, 14, 14, 21, 14, 28, 14, 28, 21, 28, 14, 42, 14, 28, 28, 35, 14, 42, 14, 42, 28, 28, 14, 56, 21, 28, 28, 42, 14, 56, 14, 42, 28, 28, 28, 63, 14, 28, 28, 56, 14, 56, 14, 42, 42, 28, 14, 70, 21, 42, more...

integer, non-monotonic, +

a(n)=7*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence a02hyz13rhqcj

8, 4, 4, 2.6666666667, 4, 2, 4, 2, 2.6666666667, 2, 4, 1.3333333333, 4, 2, 2, 1.6, 4, 1.3333333333, 4, 1.3333333333, 2, 2, 4, 1, 2.6666666667, more...

decimal, non-monotonic, +

a(n)=8/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 5axjylcqp4t1g

8, 7, 7, 6, 7, 5, 7, 5, 6, 5, 7, 3, 7, 5, 5, 4, 7, 3, 7, 3, 5, 5, 7, 1, 6, 5, 5, 3, 7, 1, 7, 3, 5, 5, 5, 0, 7, 5, 5, 1, 7, 1, 7, 3, 3, 5, 7, -1, 6, 3, more...

integer, non-monotonic, +-

a(n)=9-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence hzgsuwnjz1fwp

8, 9, 9, 10, 9, 11, 9, 11, 10, 11, 9, 13, 9, 11, 11, 12, 9, 13, 9, 13, 11, 11, 9, 15, 10, 11, 11, 13, 9, 15, 9, 13, 11, 11, 11, 16, 9, 11, 11, 15, 9, 15, 9, 13, 13, 11, 9, 17, 10, 13, more...

integer, non-monotonic, +

a(n)=7+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ivcgmj2cauzzc

8, 16, 16, 24, 16, 32, 16, 32, 24, 32, 16, 48, 16, 32, 32, 40, 16, 48, 16, 48, 32, 32, 16, 64, 24, 32, 32, 48, 16, 64, 16, 48, 32, 32, 32, 72, 16, 32, 32, 64, 16, 64, 16, 48, 48, 32, 16, 80, 24, 48, more...

integer, non-monotonic, +

a(n)=8*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence tahwjook45v2h

9, 4.5, 4.5, 3, 4.5, 2.25, 4.5, 2.25, 3, 2.25, 4.5, 1.5, 4.5, 2.25, 2.25, 1.8, 4.5, 1.5, 4.5, 1.5, 2.25, 2.25, 4.5, 1.125, 3, more...

decimal, non-monotonic, +

a(n)=9/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence udpw2pcyrr5ym

9, 8, 8, 7, 8, 6, 8, 6, 7, 6, 8, 4, 8, 6, 6, 5, 8, 4, 8, 4, 6, 6, 8, 2, 7, 6, 6, 4, 8, 2, 8, 4, 6, 6, 6, 1, 8, 6, 6, 2, 8, 2, 8, 4, 4, 6, 8, 0, 7, 4, more...

integer, non-monotonic, +

a(n)=10-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence mitccqlwwmp2l

9, 10, 10, 11, 10, 12, 10, 12, 11, 12, 10, 14, 10, 12, 12, 13, 10, 14, 10, 14, 12, 12, 10, 16, 11, 12, 12, 14, 10, 16, 10, 14, 12, 12, 12, 17, 10, 12, 12, 16, 10, 16, 10, 14, 14, 12, 10, 18, 11, 14, more...

integer, non-monotonic, +

a(n)=8+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence k3ixgdrrh5xlj

9, 18, 18, 27, 18, 36, 18, 36, 27, 36, 18, 54, 18, 36, 36, 45, 18, 54, 18, 54, 36, 36, 18, 72, 27, 36, 36, 54, 18, 72, 18, 54, 36, 36, 36, 81, 18, 36, 36, 72, 18, 72, 18, 54, 54, 36, 18, 90, 27, 54, more...

integer, non-monotonic, +

a(n)=9*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence k3lhszm3mqx0d

10, 5, 5, 3.3333333333, 5, 2.5, 5, 2.5, 3.3333333333, 2.5, 5, 1.6666666667, 5, 2.5, 2.5, 2, 5, 1.6666666667, 5, 1.6666666667, 2.5, 2.5, 5, 1.25, 3.3333333333, more...

decimal, non-monotonic, +

a(n)=10/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 04p2wyyzmqp1h

10, 11, 11, 12, 11, 13, 11, 13, 12, 13, 11, 15, 11, 13, 13, 14, 11, 15, 11, 15, 13, 13, 11, 17, 12, 13, 13, 15, 11, 17, 11, 15, 13, 13, 13, 18, 11, 13, 13, 17, 11, 17, 11, 15, 15, 13, 11, 19, 12, 15, more...

integer, non-monotonic, +

a(n)=9+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence a30xhkb30sssf

10, 20, 20, 30, 20, 40, 20, 40, 30, 40, 20, 60, 20, 40, 40, 50, 20, 60, 20, 60, 40, 40, 20, 80, 30, 40, 40, 60, 20, 80, 20, 60, 40, 40, 40, 90, 20, 40, 40, 80, 20, 80, 20, 60, 60, 40, 20, 100, 30, 60, more...

integer, non-monotonic, +

a(n)=10*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ghvojcjyfojin

11, 12, 12, 13, 12, 14, 12, 14, 13, 14, 12, 16, 12, 14, 14, 15, 12, 16, 12, 16, 14, 14, 12, 18, 13, 14, 14, 16, 12, 18, 12, 16, 14, 14, 14, 19, 12, 14, 14, 18, 12, 18, 12, 16, 16, 14, 12, 20, 13, 16, more...

integer, non-monotonic, +

a(n)=10+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence oimbwyqjwxgah

1, 0, 1, -1, 2, -2, 2, -1, 1, -2, 4, -4, 2, 0, 1, -3, 4, -4, 4, -2, 0, -2, 6, -5, 1, 0, 2, -4, 6, -6, 4, -2, 0, 0, 5, -7, 2, 0, 4, -6, 6, -6, 4, 0, -2, -2, 8, -7, 3, -2, more...

integer, non-monotonic, +-, A051950

a(n)=Δ(τ(n))
τ(n)=number of divisors of n
Δ(a)=differences of a
n≥1
3 operations
Prime

Sequence 0ibtf2j0cl3xi

1, 2, 4, 4, 4, 4, 6, 9, 6, 4, 8, 8, 4, 8, 16, 8, 6, 6, 8, 16, 8, 4, 12, 18, 6, 8, 16, 8, 8, 8, 10, 20, 8, 8, 24, 12, 4, 8, 24, 12, 8, 8, 8, 24, 12, 4, 16, 24, 9, 12, more...

integer, non-monotonic, +, A063440

a(n)=τ(∑(n))
∑(a)=partial sums of a
τ(n)=number of divisors of n
n≥1
3 operations
Prime

Sequence mu5lwwxinldci

1, 2, 4, 12, 24, 96, 192, 768, 2304, 9216, 18432, 110592, 221184, 884736, 3538944, 17694720, 35389440, 212336640, 424673280, 2548039680, 10192158720, 40768634880, 81537269760, more...

integer, strictly-monotonic, +, A066843

a(n)=∏(τ(n))
τ(n)=number of divisors of n
∏(a)=partial products of a
n≥1
3 operations
Prime

Sequence lxhr22xuy4znd

1, 3, 5, 8, 10, 14, 16, 20, 23, 27, 29, 35, 37, 41, 45, 50, 52, 58, 60, 66, 70, 74, 76, 84, 87, 91, 95, 101, 103, 111, 113, 119, 123, 127, 131, 140, 142, 146, 150, 158, 160, 168, 170, 176, 182, 186, 188, 198, 201, 207, more...

integer, strictly-monotonic, +

a(n)=∑(τ(n))
τ(n)=number of divisors of n
∑(a)=partial sums of a
n≥1
3 operations
Prime

Sequence vt3f30yu5nqll

0, 0, -1, -1, -3, -2, -5, -4, -6, -6, -9, -6, -11, -10, -11, -11, -15, -12, -17, -14, -17, -18, -21, -16, -22, -22, -23, -22, -27, -22, -29, -26, -29, -30, -31, -27, -35, -34, -35, -32, -39, -34, -41, -38, -39, -42, -45, -38, -46, -44, more...

integer, non-monotonic, -

a(n)=τ(n)-n
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ilb15r5z5tzek

0, 0, 1, 1, 3, 2, 5, 4, 6, 6, 9, 6, 11, 10, 11, 11, 15, 12, 17, 14, 17, 18, 21, 16, 22, 22, 23, 22, 27, 22, 29, 26, 29, 30, 31, 27, 35, 34, 35, 32, 39, 34, 41, 38, 39, 42, 45, 38, 46, 44, more...

integer, non-monotonic, +, A049820

a(n)=n-τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence ais1vm5agv4wi

1, 1, 0.6666666667, 0.75, 0.4, 0.6666666667, 0.2857142857, 0.5, 0.3333333333, 0.4, 0.1818181818, 0.5, 0.1538461538, 0.2857142857, 0.2666666667, 0.3125, 0.1176470588, 0.3333333333, 0.1052631579, 0.3, 0.1904761905, 0.1818181818, 0.0869565217, 0.3333333333, 0.12, more...

decimal, non-monotonic, +

a(n)=τ(n)/n
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence zbahher5qzqwb

1, 1, 1.5, 1.3333333333, 2.5, 1.5, 3.5, 2, 3, 2.5, 5.5, 2, 6.5, 3.5, 3.75, 3.2, 8.5, 3, 9.5, 3.3333333333, 5.25, 5.5, 11.5, 3, 8.3333333333, more...

decimal, non-monotonic, +

a(n)=n/τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence twbp4ftrv5osd

1, 4, 6, 12, 10, 24, 14, 32, 27, 40, 22, 72, 26, 56, 60, 80, 34, 108, 38, 120, 84, 88, 46, 192, 75, 104, 108, 168, 58, 240, 62, 192, 132, 136, 140, 324, 74, 152, 156, 320, 82, 336, 86, 264, 270, 184, 94, 480, 147, 300, more...

integer, non-monotonic, +, A038040

a(n)=n*τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence omwqhr11fcuvd

2, 4, 5, 7, 7, 10, 9, 12, 12, 14, 13, 18, 15, 18, 19, 21, 19, 24, 21, 26, 25, 26, 25, 32, 28, 30, 31, 34, 31, 38, 33, 38, 37, 38, 39, 45, 39, 42, 43, 48, 43, 50, 45, 50, 51, 50, 49, 58, 52, 56, more...

integer, non-monotonic, +, A062249

a(n)=n+τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence eryukql45lweb

-1, -4, -4, -9, -4, -16, -4, -16, -9, -16, -4, -36, -4, -16, -16, -25, -4, -36, -4, -36, -16, -16, -4, -64, -9, -16, -16, -36, -4, -64, -4, -36, -16, -16, -16, -81, -4, -16, -16, -64, -4, -64, -4, -36, -36, -16, -4, -100, -9, -36, more...

integer, non-monotonic, -

a(n)=-τ(n)²
τ(n)=number of divisors of n
n≥1
4 operations
Prime

Sequence 0kdw2121bomdb

-1, -3, -3, -5, -3, -9, -3, -7, -5, -9, -3, -15, -3, -9, -9, -9, -3, -15, -3, -15, -9, -9, -3, -21, -5, -9, -7, -15, -3, -27, -3, -11, -9, -9, -9, -25, -3, -9, -9, -21, -3, -27, -3, -15, -15, -9, -3, -27, -5, -15, more...

integer, non-monotonic, -

a(n)=-τ(n²)
τ(n)=number of divisors of n
n≥1
4 operations
Prime

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