A104032 Unsigned row sums of triangle A104030, which is the matrix inverse of the triangle of pairwise sums of trinomial coefficients.

1, 3, 13, 83, 781, 10515, 194125, 4721363, 146385805, 5636169363, 263831355085, 14755901813843, 971805538480141, 74439152531508243, 6561768848473177933, 659527417026466047443, 74976638559342869785741

Offset

0,2

Comments

Row sums of triangle A104030 forms negative Genocchi numbers (of first kind)(A001469).

Links

Table of n, a(n) for n=0..16.

Prog

(PARI) {a(n)=if(n<0, 0, (sum(k=0, n, abs((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+1, k+1])))}

Crossrefs

Cf. A104030.

Sequence in context: A173998 A135743 A123114 * A130406 A225236 A152789

Adjacent sequences: A104029 A104030 A104031 * A104033 A104034 A104035

Keyword

nonn

Author

Paul D. Hanna, Feb 26 2005

Status

approved