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

0,4

Links

Table of n, a(n) for n=0..21.

Formula

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

Prog

(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])}

Crossrefs

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

Sequence in context: A137968 A062512 A087297 * A202766 A144013 A318565

Adjacent sequences: A117333 A117334 A117335 * A117337 A117338 A117339

Keyword

sign

Author

Paul D. Hanna, Mar 09 2006

Status

approved