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%I #6 Mar 31 2012 10:28:14
%S 1,0,1,-2,0,1,-8,-6,0,1,-36,-32,-12,0,1,-224,-180,-80,-20,0,1,-1880,
%T -1344,-540,-160,-30,0,1,-19872,-13160,-4704,-1260,-280,-42,0,1,
%U -251888,-158976,-52640,-12544,-2520,-448,-56,0,1,-3712256,-2266992
%N Matrix inverse of triangle A055140.
%C 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 a(n, k) = A053142(n-k)*C(n, k).
%e 1; 0,1; -2,0,1; -8,-6,0,1; -36,-32,-12,0,1; ...
%K sign,tabl
%O 0,4
%A _Christian G. Bower_, May 09 2000
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