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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.

A113265 Partial sums of Catalan numbers A000108 multiplied by powers of -6.

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%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