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A109144 G.f.: cube root of theta series of E*_6 lattice (cf. A005129). 1
1, 0, 18, 24, -324, -720, 9234, 33696, -307926, -1614000, 10860480, 78618672, -385935492, -3854459520, 13226566500, 189101997360, -408244450788, -9247223107008, 9292147273170, 449330421257568, 41307157825920, -21633699079357296, -25580513164295232, 1028997388914059808 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
MATHEMATICA
terms = 24; QP = QPochhammer; s = ((QP[q]^3/QP[q^3])^3 + 9 q (QP[q^3]^3 / QP[q])^3)^(1/3) + O[q]^terms; CoefficientList[s, q] (* Jean-François Alcover, Jul 08 2017, after Michael Somos *)
CROSSREFS
Sequence in context: A125261 A248102 A166646 * A166471 A072422 A003300
KEYWORD
sign
AUTHOR
STATUS
approved

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Last modified April 14 09:38 EDT 2024. Contains 371657 sequences. (Running on oeis4.)