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 A113265 #3 Oct 12 2012 14:40:24 %S A113265 1,-5,67,-1013,17131,-309461,5849131,-114243413,2287607467, %T A113265 -46710150485,968879741611,-20358507992405,432438339283627, %U A113265 -9270351245202773,200309903779703467,-4358060643012007253,95389812498547780267,-2099063396615767545173 %N A113265 Partial sums of Catalan numbers A000108 multiplied by powers of -6. %C A113265 Seventh column (m=6) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). %F A113265 a(n)= A112707(n+6, 6), n>=0. %F A113265 G.f.: c(-6*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108. %F A113265 G.f. for unsigned sequence: c(6*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*6^n} and {(-1)^n}, where C(n):=A000108(n). %Y A113265 Cf. A113264 (m=5). %K A113265 sign,easy %O A113265 0,2 %A A113265 _Wolfdieter Lang_, Oct 31 2005