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 A113269 #3 Oct 12 2012 14:40:25 %S A113269 1,-9,191,-4809,135191,-4064809,127935191,-4162064809,138837935191, %T A113269 -4723162064809,163236837935191,-5715363162064809,202296636837935191, %U A113269 -7226703363162064809,260217296636837935191,-9434627703363162064809,344142072296636837935191 %N A113269 Partial sums of Catalan numbers A000108 multiplied by powers of -10. %C A113269 Eleventh column (m=10) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). %F A113269 a(n)= A112707(n+10, 10), n>=0. %F A113269 G.f.: c(-10*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108. %F A113269 G.f. for unsigned sequence: c(10*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*10^n} and {(-1)^n}, where C(n):=A000108(n). %Y A113269 Cf. A113268 (m=9). %K A113269 sign,easy %O A113269 0,2 %A A113269 _Wolfdieter Lang_, Oct 31 2005