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A059824
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Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>=1} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^7 *product_{i=1..t} (1-x^i) ).
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0
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0, 1, 8, 35, 119, 321, 784, 1672, 3389, 6280, 11285, 18971, 31383, 49162, 76322, 113494, 167785, 239086, 340355, 468636, 646058, 865724, 1161936, 1520105, 1997015, 2559758, 3297599, 4157592, 5266644, 6537922, 8168293, 10003615
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| G. E. Andrews, Some debts I owe Seminaire Lotharingien Combinatoire, Paper B42a, Issue 42, 2000; see (7.4).
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MAPLE
| Mk := proc(k) -1*add( (-1)^n*q^(n*(n+1)/2)/(1-q^n)^k/mul(1-q^i, i=1..n), n=1..101): end; # with k=7
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CROSSREFS
| Cf. A000005 (k=1), A059819 (k=2), A059820 (k=3), ..., A059825 (k=8).
Sequence in context: A162494 A040977 A036598 * A094616 A114569 A189599
Adjacent sequences: A059821 A059822 A059823 * A059825 A059826 A059827
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 24 2001
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