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 A038836 #4 Mar 31 2012 13:19:58 %S A038836 1,12,95,624,3682,20264,106203,536840,2639230,12692360,59957846, %T A038836 279081152,1282981380,5835994768,26305678739,117635236344, %U A038836 522394992358,2305593653960,10120007354562,44201842781536,192208416186716 %N A038836 Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients). %C A038836 Convolution of A038806(n+1), n >= 0, with A000984 (central binomial coefficients); also convolution of A029760 with A000302 (powers of 4). %F A038836 a(n) = binomial(n+5, 2)*binomial(2*(n+3), n+2)/6 - (n+3)*2^(2*n+3); G.f. c(x)^2/(1-4*x)^(5/2), where c(x) = g.f. for Catalan numbers A000108; %Y A038836 Cf. A000108, A002802, A000302, A000984, A029760, A038806. %K A038836 easy,nonn %O A038836 0,2 %A A038836 _Wolfdieter Lang_