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URL: https://oeis.org/A293257

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A293257
G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m) + 4!*x^(4*m) - 5!*x^(5*m)).
2
1, -1, 1, -6, 24, -117, -20, 93, 160, -122, -156, 414, 459, -2038, -2486, 13333, 1246, 2468, -8446, -13036, -4814, 7848, -11453, 50116, -46764, -1952, -164895, 214144, 249038, 396600, -1598966, 254048, -465174, -559712, 726422, 747, 1067574, 2897334, 165438
OFFSET
0,4
LINKS
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(b(n-i*j, i-1)*j!*(-1)^j, j=0..min(5, n/i))))
end:
a:= n-> b(n$2):
seq(a(n), n=0..60); # Alois P. Heinz, Oct 04 2017
PROG
(PARI) Vec(prod(m=1, 50, 1+sum(k=1, 5, (-1)^k*k!*x^(k*m))) + O(x^50)) \\ Michel Marcus, Oct 04 2017
CROSSREFS
Column k=5 of A293071.
Cf. A293250.
Sequence in context: A392856 A187668 A273813 * A223752 A293236 A217193
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 04 2017
STATUS
approved