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Dirichlet convolution of b_n=2^(n-1) with sigma(n).
0

%I #7 Sep 11 2019 05:04:12

%S 1,5,8,21,22,64,72,181,285,590,1036,2256,4110,8424,16496,33269,65554,

%T 132081,262164,526062,1048896,2100284,4194328,8395760,16777343,

%U 33566790,67109980,134242920,268435486,536922688,1073741856,2147583093

%N Dirichlet convolution of b_n=2^(n-1) with sigma(n).

%F a(n) ~ 2^(n-1). - _Vaclav Kotesovec_, Sep 11 2019

%t Table[Sum[DivisorSigma[1, n/d]*2^(d - 1), {d, Divisors[n]}], {n, 1, 40}] (* _Vaclav Kotesovec_, Sep 10 2019 *)

%K nonn

%O 1,2

%A _Erich Friedman_