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 A041001 #4 Mar 31 2012 13:19:58 %S A041001 1,14,125,906,5810,34364,191901,1026610,5312230,26767940,131990066, %T A041001 639210404,3048892740,14354652152,66828135005,308078809794, %U A041001 1408022619806,6385966846580,28765327498278,128777533131500 %N A041001 Convolution of A000108(n+1), n >= 0, (Catalan numbers) with A038845 (3-fold convolution of powers of 4). %C A041001 Also convolution of A038836 with A000984 (central binomial coefficients); also convolution of A001791(n+1), n >= 0, with A002802; also convolution of A008549(n+1), n >= 0, with A002697; also convolution of A029760 with A002457; also convolution of A038806(n+1), n >= 0, with A000302 (powers of 4). %F A041001 a(n) = (n+3)*(3*(n+6)*2^(2*n+3)-(n+4)*binomial(2*n+7, n+3))/12; G.f. (c(x)^2)/(1-4*x)^3, where c(x) = g.f. for Catalan numbers. %K A041001 easy,nonn %O A041001 0,2 %A A041001 _Wolfdieter Lang_