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A034774 Dirichlet convolution of d(n) (# of divisors) with Catalan numbers. 0

%I #7 Sep 11 2019 04:49:43

%S 1,3,4,10,16,52,134,446,1437,4896,16798,58896,208014,743170,2674476,

%T 9695727,35357672,129647751,477638702,1767272976,6564120692,

%U 24466300618,91482563642,343059732248,1289904147355,4861946817482

%N Dirichlet convolution of d(n) (# of divisors) 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]*DivisorSigma[0, d], {d, Divisors[n]}], {n, 1, 25}] (* _Vaclav Kotesovec_, Sep 10 2019 *)

%K nonn

%O 1,2

%A _Erich Friedman_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)