A104031 Column 1 of triangle A104030, which is the matrix inverse of the triangle of pairwise sums of trinomial coefficients.

1, -5, 32, -299, 4015, -74080, 1801537, -55855829, 2150565968, -100668835739, 5630336915071, -370807060847872, 28403381397111649, -2503741873703550533, 251652633457563092096, -28608467296650576313259, 3652291148549164761101551, -520296573821474451201241696

Offset

0,2

Comments

Column 0 of triangle A104030 forms signed Hammersley's polynomial p_n(1) (A006846), offset 1.

Links

Table of n, a(n) for n=0..17.

Prog

(PARI) {a(n)=if(n<0, 0, ((matrix(n+2, n+2, m, j, if(m>=j, polcoeff((1+x+x^2)^(m-1)+O(x^(2*j)), 2*j-2)+ polcoeff((1+x+x^2)^(m-1)+O(x^(2*j)), 2*j-1))))^-1)[n+2, 2])}

Crossrefs

Cf. A104030.

Sequence in context: A331339 A307497 A023880 * A294957 A363397 A023882

Adjacent sequences: A104028 A104029 A104030 * A104032 A104033 A104034

Keyword

sign

Author

Paul D. Hanna, Feb 26 2005

Status

approved