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.
%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