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 A113264 #3 Oct 12 2012 14:40:24 %S A113264 1,-4,46,-579,8171,-123079,1939421,-31576204,527017546,-8969076204, %T A113264 155054361296,-2715355794954,48068823892546,-858791527669954, %U A113264 15464694800455046,-280398494896810579,5114753787818033171,-93796371395287435579,1728250671451392251921 %N A113264 Partial sums of Catalan numbers A000108 multiplied by powers of -5. %C A113264 Sixth column (m=5) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). %F A113264 a(n)= A112707(n+5, 5), n>=0. %F A113264 G.f.: c(-5*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108. %F A113264 G.f. for unsigned sequence: c(5*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*5^n} and {(-1)^n}, where C(n):=A000108(n). %Y A113264 Cf. A112711 (m=4). %K A113264 sign,easy %O A113264 0,2 %A A113264 _Wolfdieter Lang_, Oct 31 2005