A103996 Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.

1, -1, 2, -9, 74, -955, 17744, -448077, 14751974, -613569711, 31452344252, -1947832408225, 143356013568338, -12366684481981635, 1235842203066704648, -141628365906835323573, 18449654196553852968254

Offset: 0

Author

Ralf Stephan, Feb 24 2005

Keywords

• sign

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..268

Crossrefs

Cf. A256006.

Programs

Mathematica

nmax = 30; aa = ConstantArray[0,nmax+1]; aa[[1]] = 1; Do[aa[[n+1]]=-Sum[Binomial[n+1,k]*aa[[k+1]],{k,0,n-1}],{n,1,nmax}]; aa (* Vaclav Kotesovec, May 06 2015 *)

Formula

a(n) ~ (-1)^n * c * n^(2*n+4/3) / (2^n * exp(2*n)), where c = 6.48036478570177035603430551468143689346603193431525230833621534239220049... . - Vaclav Kotesovec, May 06 2015

Extensions

Offset changed to 0 by Vaclav Kotesovec, May 06 2015