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A117336
Column 1 of triangle A117335.
4
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
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
KEYWORD
sign
AUTHOR
Paul D. Hanna, Mar 09 2006
STATUS
approved