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%I #7 Sep 11 2019 05:02:53
%S 1,3,6,15,30,82,196,575,1694,5418,17820,60986,212108,751420,2690912,
%T 9728639,35423206,129779210,477900844,1767797906,6565169652,
%U 24468398788,91486757944,343068124346,1289920924764,4861980376004
%N Dirichlet convolution of b_n=2^(n-1) with Catalan numbers.
%F a(n) ~ 2^(2*n-2) / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Sep 11 2019
%t Table[Sum[CatalanNumber[n/d - 1]*2^(d - 1), {d, Divisors[n]}], {n, 1, 30}] (* _Vaclav Kotesovec_, Sep 10 2019 *)
%K nonn
%O 1,2
%A _Erich Friedman_
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