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A059823 Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^6 *product_{i=1..t} (1-x^i) ). 1
0, 1, 7, 27, 83, 202, 455, 889, 1682, 2892, 4894, 7694, 12090, 17822, 26411, 37206, 52730, 71447, 97984, 128714, 171421, 220064, 285963, 359204, 458506, 565347, 708665, 862163, 1064302, 1276474, 1558090, 1845874, 2226044, 2614188 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..33.

G. E. Andrews, Some debts I owe, Seminaire Lotharingien Combinatoire, Paper B42a, Issue 42, 2000; see (7.4).

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=6

CROSSREFS

Cf. A000005 (k=1), A059819 (k=2), A059820 (k=3), ..., A059825 (k=8).

Sequence in context: A027180 A036597 A038092 * A059769 A135914 A213588

Adjacent sequences:  A059820 A059821 A059822 * A059824 A059825 A059826

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 24 2001

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)