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A055141 Matrix inverse of triangle A055140. 2
1, 0, 1, -2, 0, 1, -8, -6, 0, 1, -36, -32, -12, 0, 1, -224, -180, -80, -20, 0, 1, -1880, -1344, -540, -160, -30, 0, 1, -19872, -13160, -4704, -1260, -280, -42, 0, 1, -251888, -158976, -52640, -12544, -2520, -448, -56, 0, 1, -3712256, -2266992 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

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]

LINKS

Table of n, a(n) for n=0..46.

FORMULA

a(n, k) = A053142(n-k)*C(n, k).

EXAMPLE

1; 0,1; -2,0,1; -8,-6,0,1; -36,-32,-12,0,1; ...

CROSSREFS

Sequence in context: A248673 A278881 A201637 * A055140 A191936 A327090

Adjacent sequences:  A055138 A055139 A055140 * A055142 A055143 A055144

KEYWORD

sign,tabl

AUTHOR

Christian G. Bower, May 09 2000

STATUS

approved

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Last modified December 15 12:13 EST 2019. Contains 329999 sequences. (Running on oeis4.)