cp's OEIS Frontend

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.

A112711 Partial sums of Catalan numbers A000108 multiplied by powers of -4.

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%I A112711 #3 Oct 12 2012 14:40:24
%S A112711 1,-3,29,-291,3293,-39715,500957,-6527779,87188701,-1187355427,
%T A112711 16424527069,-230141827875,3259720426717,-46595454638883,
%U A112711 671319066305757,-9738441487391523,142121594825368797,-2085158937761782563,30737922595101500637,-455043684091275090723
%N A112711 Partial sums of Catalan numbers A000108 multiplied by powers of -4.
%C A112711 Fifth column (m=4) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
%F A112711 a(n)= A112707(n+4, 4), n>=0.
%F A112711 G.f.: c(-4*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.
%F A112711 G.f. for unsigned sequence: c(4*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*4^n} and {(-1)^n}, where C(n):=A000108(n).
%Y A112711 Cf. A112710 (m=3).
%K A112711 sign,easy
%O A112711 0,2
%A A112711 _Wolfdieter Lang_, Oct 31 2005