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 A113267 #3 Oct 12 2012 14:40:24 %S A113267 1,-7,121,-2439,54905,-1321351,33281657,-866396551,23125022329, %T A113267 -629441571207,17405126104697,-487562768820615,13806913025988217, %U A113267 -394606681111406983,11367704830045574777,-329739328993506896263,9622560010799553435257 %N A113267 Partial sums of Catalan numbers A000108 multiplied by powers of -8. %C A113267 Ninth column (m=8) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). %F A113267 a(n)= A112707(n+8, 8), n>=0. %F A113267 G.f.: c(-8*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108. %F A113267 G.f. for unsigned sequence: c(8*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*8^n} and {(-1)^n}, where C(n):=A000108(n). %Y A113267 Cf. A113266 (m=7). %K A113267 sign,easy %O A113267 0,2 %A A113267 _Wolfdieter Lang_, Oct 31 2005