A177445 Partial sums of A120562.

1, 2, 3, 5, 6, 8, 10, 13, 14, 17, 19, 22, 24, 28, 31, 36, 37, 41, 44, 48, 50, 55, 58, 63, 65, 70, 74, 80, 83, 90, 95, 103, 104, 110, 114, 119, 122, 129, 133, 140, 142, 148, 153, 160, 163, 171, 176, 184, 186, 193, 198, 205, 209, 218, 224, 234, 237, 246, 253, 263, 268

Offset

0,2

Links

Andrew Howroyd, Table of n, a(n) for n = 0..10000

Formula

a(n) = Sum_{k=0..n} A120562(k).

Example

a(7) = (1 + 1 + 1 + 2 + 1 + 2 + 2) = 10, where A120562 = (1, 1, 1, 2, 1, 2, 2,...).

Prog

(PARI) seq(n)={my(v=vector(n+1)); v[1]=v[2]=1; for(n=2, n, v[1+n]=v[1+n\2]+if(n%2, v[n\2])); for(n=1, n, v[1+n]+=v[n]); v} \\ Andrew Howroyd, Sep 24 2025

Crossrefs

Row sums of A177446.

Cf. A120562.

Sequence in context: A072190 A363658 A356137 * A022826 A053035 A160009

Adjacent sequences: A177442 A177443 A177444 * A177446 A177447 A177448

Keyword

nonn

Author

Gary W. Adamson, May 08 2010

Extensions

a(31) onwards from Andrew Howroyd, Sep 24 2025

Status

approved