A034733 Dirichlet convolution of b_n=2^(n-1) with itself.

1, 4, 8, 20, 32, 80, 128, 288, 528, 1088, 2048, 4288, 8192, 16640, 32896, 66112, 131072, 263424, 524288, 1050880, 2097664, 4198400, 8388608, 16786944, 33554688, 67125248, 134219776, 268469248, 536870912, 1073812480, 2147483648

Offset

1,2

Links

Table of n, a(n) for n=1..31.

Formula

G.f.: Sum_{k>0} 2^(k-1)*x^k/(1-2*x^k). - Vladeta Jovovic, Jun 24 2003

a(n) ~ 2^n. - Vaclav Kotesovec, Sep 11 2019

Mathematica

Table[Sum[2^(d + n/d - 2), {d, Divisors[n]}], {n, 1, 30}] (* Vaclav Kotesovec, Sep 11 2019 *)

Crossrefs

Sequence in context: A180794 A047185 A349546 * A365964 A152233 A301896

Adjacent sequences: A034730 A034731 A034732 * A034734 A034735 A034736

Keyword

nonn

Author

Erich Friedman

Status

approved