Sequence Database

A database with 1693109 machine generated integer and decimal sequences.

Found 5 transform matches of a total 472 applied transforms.

Sequence dn45tihxwldcj

0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[φ(query[n])]
query(n)=nth term of your query
ϕ(n)=number of relative primes (Euler's totient)
comp(a)=complement function of a (in range)
n≥0
4 operations
Prime
a(n)=comp[σ(4+a(n-1))]
a(0)=1
σ(n)=divisor sum of n
comp(a)=complement function of a (in range)
n≥0
5 operations
Prime

Sequence pwy1jsxr42dgf

1, 2, 5, 8, 13, 18, 25, 32, 41, 50, 61, 72, 85, 98, 113, 128, 145, 162, 181, 200, 221, 242, 265, 288, 313, 338, 365, 392, 421, 450, 480, 512, 545, 578, 613, 648, 685, 722, 761, 800, 841, 882, 924, 968, 1013, 1058, 1105, 1152, 1201, 1250, more...

integer, strictly-monotonic, +

a(n)=floor(sqrt(query[n]))
query(n)=nth term of your query
n≥0
4 operations
Power
a(n)=round(1/(2/n²))
n≥1
7 operations
Power

Sequence ahvr5hesbgdhl

1, 2, 5, 8, 13, 18, 25, 32, 41, 50, 61, 72, 85, 98, 113, 128, 145, 162, 181, 200, 221, 242, 265, 288, 313, 338, 365, 392, 421, 450, 481, 512, 545, 578, 613, 648, 685, 722, 761, 800, 841, 882, 925, 968, 1013, 1058, 1105, 1152, 1201, 1250, more...

integer, strictly-monotonic, +

a(n)=floor(sqrt(query[n]))
query(n)=nth term of your query
n≥0
4 operations
Power
a(n)=∑[or(1, n)]
or(a,b)=bitwise or
∑(a)=partial sums of a
n≥0
4 operations
Bitwise
a(n)=or(1, n)+a(n-1)
a(0)=1
or(a,b)=bitwise or
n≥0
5 operations
Recursive
a(n)=ceil(n/(2/n))
n≥1
6 operations
Arithmetic
a(n)=∑[xor(n, n-a(n-1))]
a(0)=1
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
n≥0
6 operations
Recursive
a(n)=∑[and(2, a(n-2))]+a(n-1)
a(0)=1
a(1)=2
and(a,b)=bitwise and
∑(a)=partial sums of a
n≥0
6 operations
Recursive

Sequence 3zfyitgdjhsgg

1, 3, 5, 9, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99, 113, 129, 145, 163, 181, 201, 221, 243, 265, 289, 313, 339, 365, 393, 421, 451, 481, 513, 545, 579, 613, 649, 685, 723, 761, 801, 841, 883, 925, 969, 1013, 1059, 1105, 1153, 1201, 1251, more...

integer, strictly-monotonic, +, A080827

a(n)=round(sqrt(query[n]))
query(n)=nth term of your query
n≥0
4 operations
Power
a(n)=or(1, n+a(n-1))
a(0)=1
or(a,b)=bitwise or
n≥0
5 operations
Recursive
a(n)=2*∑[a(n-2)]+a(n-1)
a(0)=1
a(1)=0
∑(a)=partial sums of a
n≥0
6 operations
Recursive
a(n)=n+n%2+a(n-1)
a(0)=1
n≥0
7 operations
Recursive
a(n)=floor(1+n/(2/n))
n≥1
8 operations
Arithmetic

Sequence a4fzh01tfi20j

1, 3, 6, 9, 14, 19, 26, 33, 42, 51, 62, 73, 86, 99, 114, 129, 146, 163, 182, 201, 222, 243, 266, 289, 314, 339, 366, 393, 422, 451, 482, 513, 546, 579, 614, 649, 686, 723, 762, 801, 842, 883, 926, 969, 1014, 1059, 1106, 1153, 1202, 1251, more...

integer, strictly-monotonic, +

a(n)=ceil(sqrt(query[n]))
query(n)=nth term of your query
n≥0
4 operations
Power
a(n)=n+a(n-1)%2+a(n-1)
a(0)=1
n≥0
7 operations
Recursive