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Dirichlet convolution of Fibonacci numbers with Catalan numbers.
0

%I #7 Sep 11 2019 05:09:46

%S 1,2,4,9,19,54,145,458,1468,4936,16885,58996,208245,743422,2675088,

%T 9696297,35359267,129648938,477642881,1767274939,6564131656,

%U 24466301616,91482592297,343059720014,1289904222419,4861946731090

%N Dirichlet convolution of Fibonacci numbers 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]*Fibonacci[d], {d, Divisors[n]}], {n, 1, 25}] (* _Vaclav Kotesovec_, Sep 10 2019 *)

%K nonn

%O 1,2

%A _Erich Friedman_