A117336 Column 1 of triangle A117335.

0, 1, -1, 6, -27, 164, -1133, 8930, -78739, 768276, -8221025, 95775678, -1207356591, 16381797128, -238127430413, 3693030808322, -60880099651291, 1063264668030924, -19614400226382041, 381146295159812646, -7782393142569110535, 166592263396576831760

Offset: 0

Author

Paul D. Hanna, Mar 09 2006

Keywords

• sign

Crossrefs

Cf. A104981, A117335 (triangle), A117337 (column 2), A117338 (row sums).

Programs

PARI

{a(n)=if(n<1,0,(vector(n+1,k,(-1)^k)*matrix(n+1,n+1,m,j,if(m==j,1,if(m==j+1,-m+1, -polcoeff((1-1/sum(i=0,m,i!*x^i))/x+O(x^m),m-j-1))))^-1)[2])}

Formula

a(n) = Sum_{k=0..n} (-1)^(k+1)*A104981(k).