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A034717
Dirichlet convolution of Catalan numbers (1,2,5,14...) with themselves.
0
1, 4, 10, 32, 84, 284, 858, 2916, 9749, 33760, 117572, 416692, 1485800, 5350596, 19390110, 70721256, 259289580, 955298168, 3534526380, 13128309200, 48932538330, 182965362424, 686119227300, 2579809144692, 9723892804668
OFFSET
1,2
FORMULA
a(n) ~ 2^(2*n+1) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Sep 11 2019
MATHEMATICA
Table[Sum[CatalanNumber[n/d]*CatalanNumber[d], {d, Divisors[n]}], {n, 1, 30}] (* Vaclav Kotesovec, Sep 10 2019 *)
CROSSREFS
Sequence in context: A360919 A015796 A318562 * A295404 A001673 A017936
KEYWORD
nonn
STATUS
approved