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A034717 Dirichlet convolution of Catalan numbers (1,2,5,14...) with themselves. 0

%I #7 Sep 11 2019 04:57:42

%S 1,4,10,32,84,284,858,2916,9749,33760,117572,416692,1485800,5350596,

%T 19390110,70721256,259289580,955298168,3534526380,13128309200,

%U 48932538330,182965362424,686119227300,2579809144692,9723892804668

%N Dirichlet convolution of Catalan numbers (1,2,5,14...) with themselves.

%F a(n) ~ 2^(2*n+1) / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Sep 11 2019

%t Table[Sum[CatalanNumber[n/d]*CatalanNumber[d], {d, Divisors[n]}], {n, 1, 30}] (* _Vaclav Kotesovec_, Sep 10 2019 *)

%K nonn

%O 1,2

%A _Erich Friedman_

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Last modified April 26 15:25 EDT 2024. Contains 372003 sequences. (Running on oeis4.)