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

Author

Paul D. Hanna, May 21 2005

Keywords

• sign

Comments

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

Crossrefs

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

Programs

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]}

Formula

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