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

Author

Paul D. Hanna, Feb 26 2005

Keywords

• sign

Comments

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

Crossrefs

Cf. A104030.

Programs

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])}