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