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A293256
G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m) + 4!*x^(4*m)).
2
1, -1, 1, -6, 24, 3, -20, -27, 40, -2, -36, -186, 579, -118, 274, -347, 46, -892, 74, -76, 3106, -3192, -1013, -4844, 12276, -752, 2145, -656, 11198, -11160, -2246, -38752, 32106, -24272, 42182, -7533, 36054, -78906, -4482, -164462, 381837, -174346, 21356, -114910
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(4, 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, 4, (-1)^k*k!*x^(k*m))) + O(x^50)) \\ Michel Marcus, Oct 04 2017
CROSSREFS
Column k=4 of A293071.
Cf. A289486.
Sequence in context: A376518 A376493 A376477 * A213344 A337023 A193429
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 04 2017
STATUS
approved