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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A292617 Convolution of number of partitions into distinct parts and Catalan numbers.

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%I A292617 #6 Sep 20 2017 09:55:39
%S A292617 1,2,4,10,25,70,209,656,2137,7155,24447,84864,298374,1060151,3800365,
%T A292617 13727145,49910870,182522747,670896855,2477250003,9184502747,
%U A292617 34177467134,127606759053,477890336663,1794697782990,6757164079051,25501212956975,96450275088260
%N A292617 Convolution of number of partitions into distinct parts and Catalan numbers.
%F A292617 a(n) ~ c * 4^n / (sqrt(Pi) * n^(3/2)), where c = QPochhammer[-1, 1/4]/2 = 1.3559096738634793803455442348539593...
%t A292617 Table[Sum[PartitionsQ[k]*CatalanNumber[n-k], {k, 0, n}], {n, 0, 50}]
%Y A292617 Cf. A000009, A000108, A014329.
%K A292617 nonn
%O A292617 0,2
%A A292617 _Vaclav Kotesovec_, Sep 20 2017