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A319931
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a(n) = -(1/120)*n*(n - 3)*(n - 6)*(n^2 - 21*n + 8).
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3
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0, 1, 2, 0, -4, -6, 0, 21, 64, 135, 238, 374, 540, 728, 924, 1107, 1248, 1309, 1242, 988, 476, -378, -1672, -3519, -6048, -9405, -13754, -19278, -26180, -34684, -45036, -57505, -72384, -89991, -110670, -134792, -162756, -194990, -231952, -274131, -322048, -376257
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = [x^5] DedekindEta(x)^n.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n > 5.
G.f.: x*(-7*x^4 + 6*x^3 + 3*x^2 - 4*x + 1)/(x - 1)^6. (End)
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MAPLE
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a := n -> -(1/120)*n*(n-3)*(n-6)*(n^2-21*n+8):
seq(a(n), n=0..41);
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PROG
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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