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 A113268 #3 Oct 12 2012 14:40:25 %S A113268 1,-8,154,-3491,88363,-2391695,67758517,-1984135184,59572675846, %T A113268 -1824065741672,56739965057524,-1788027005117150,56960705737368622, %U A113268 -1831391418128245478,59351217395117651362,-1936731395137029733043,63581744945624043237427 %N A113268 Partial sums of Catalan numbers A000108 multiplied by powers of -9. %C A113268 Tenth column (m=9) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). %F A113268 a(n)= A112707(n+9, 9), n>=0. %F A113268 G.f.: c(-9*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108. %F A113268 G.f. for unsigned sequence: c(9*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*9^n} and {(-1)^n}, where C(n):=A000108(n). %Y A113268 Cf. A113267 (m=8). %K A113268 sign,easy %O A113268 0,2 %A A113268 _Wolfdieter Lang_, Oct 31 2005