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 A041005 #4 Mar 31 2012 13:19:58 %S A041005 1,16,159,1260,8722,55152,326811,1844084,10015566,52754624,270976342, %T A041005 1362986520,6734927460,32775704608,157408497171,747269225028, %U A041005 3511471892470,16351481223840,75525932249922,346305571781224 %N A041005 Convolution of Catalan numbers A000108(n+1), n >= 0, with A020918. %C A041005 Also convolution of A001791(n+1), n >= 0, with A038845; also convolution of A008549(n+1), n >= 0, with A002802; also convolution of A029760 with A002697; also convolution of A038806(n+1), n >= 0, with A002457; also convolution of A038836 with A000302 (powers of 4); also convolution of A041001 with A000984 (central binomial coefficients). %F A041005 a(n)=binomial(n+7, 3)*binomial(2*(n+4), n+2)/20 - (n+4)*(n+3)*4^(n+1); G.f. (c(x)^2)/(1-4*x)^(7/2), where c(x) = g.f. for Catalan numbers. %K A041005 easy,nonn %O A041005 0,2 %A A041005 _Wolfdieter Lang_