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 A304824 #4 May 19 2018 11:59:58 %S A304824 1,3,10,33,113,397,1431,5249,19514,73260,277100,1054248,4029859, %T A304824 15463765,59531725,229816430,889301153,3448417251,13396337155, %U A304824 52126461984,203124067675,792559645912,3096104725974,12107810534937,47395948167885,185697860476576 %N A304824 Convolution of central binomial coefficients and partition numbers. %F A304824 a(n) ~ 4^n / (QPochhammer[1/4] * sqrt(Pi*n)). %t A304824 Table[Sum[PartitionsP[n-k]*Binomial[2*k, k], {k, 0, n}], {n, 0, 25}] %Y A304824 Cf. A000041, A000984, A014329, A304823. %K A304824 nonn %O A304824 0,2 %A A304824 _Vaclav Kotesovec_, May 19 2018