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.

A055141 Matrix inverse of triangle A055140.

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%I A055141 #6 Mar 31 2012 10:28:14
%S A055141 1,0,1,-2,0,1,-8,-6,0,1,-36,-32,-12,0,1,-224,-180,-80,-20,0,1,-1880,
%T A055141 -1344,-540,-160,-30,0,1,-19872,-13160,-4704,-1260,-280,-42,0,1,
%U A055141 -251888,-158976,-52640,-12544,-2520,-448,-56,0,1,-3712256,-2266992
%N A055141 Matrix inverse of triangle A055140.
%C A055141 T is an example of the group of matrices outlined in the table in A132382--the associated matrix for aC(1,1). The e.g.f. for the row polynomials is exp(x*t) * exp(x) * (1-2*x)^(1/2). T(n,k) = Binomial(n,k)* s(n-k) where s = A055142 with an e.g.f. of exp(x) * (1-2*x)^(1/2) which is the reciprocal of the e.g.f. of A053871. The row polynomials form an Appell sequence. [From _Tom Copeland_, Sep 11 2008]
%F A055141 a(n, k) = A053142(n-k)*C(n, k).
%e A055141 1; 0,1; -2,0,1; -8,-6,0,1; -36,-32,-12,0,1; ...
%K A055141 sign,tabl
%O A055141 0,4
%A A055141 _Christian G. Bower_, May 09 2000