A107103 Column 1 of triangle A107102, which is the matrix inverse of A100862.

1, -3, 12, -67, 495, -4596, 51583, -680037, 10306152, -176591665, 3376207461, -71258869848, 1645797382177, -41289185878227, 1118136109703460, -32509366699961371, 1010047705084550823, -33397162601828122332, 1170937325957822375167, -43391988679237460897205

Offset

0,2

Comments

Column 0 of triangle A107102 is signed A001515 (Bessel polynomial).

Links

Table of n, a(n) for n=0..19.

Formula

|a(n)| = 2*A001515(n)-A001515(n-1). - Vladeta Jovovic, Aug 10 2006

Prog

(PARI) {a(n)=local(X=x+x^2*O(x^n), Y=y+y^2*O(y^n)); (matrix(n+2, n+2, m, k, if(m>=k, (m-1)!*polcoeff(polcoeff(exp(X+Y*X^2/2+X*Y), m-1, x), k-1, y)))^-1)[n+2, 2]}

Crossrefs

Cf. A100862, A001515, A043301, A107102, A107104.

Sequence in context: A256125 A337059 A294202 * A107887 A187118 A121812

Adjacent sequences: A107100 A107101 A107102 * A107104 A107105 A107106

Keyword

sign

Author

Paul D. Hanna, May 21 2005

Status

approved