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 A292619 #5 Sep 20 2017 10:20:29 %S A292619 1,3,8,21,54,144,404,1195,3712,12000,39994,136400,473430,1665868, %T A292619 5926476,21275805,76964808,280250088,1026309908,3777411342, %U A292619 13965286180,51837285776,193107846304,721732334136,2705480787422,10169387310362,38320472420462,144733083435688 %N A292619 Convolution of number of overpartitions and Catalan numbers. %F A292619 a(n) ~ c * 4^n / (sqrt(Pi) * n^(3/2)), where c = QPochhammer[-1, 1/4] / (2*QPochhammer[1/4, 1/4]) = 1.96926035366826943194719369696726567... %t A292619 Table[Sum[Sum[PartitionsP[k-j] * PartitionsQ[j], {j, 0, k}] * CatalanNumber[n-k], {k, 0, n}], {n, 0, 50}] %Y A292619 Cf. A000108, A015128, A014329, A292617. %K A292619 nonn %O A292619 0,2 %A A292619 _Vaclav Kotesovec_, Sep 20 2017