cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A109144 G.f.: cube root of theta series of E*_6 lattice (cf. A005129).

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%I A109144 #12 Dec 11 2017 11:15:02
%S A109144 1,0,18,24,-324,-720,9234,33696,-307926,-1614000,10860480,78618672,
%T A109144 -385935492,-3854459520,13226566500,189101997360,-408244450788,
%U A109144 -9247223107008,9292147273170,449330421257568,41307157825920,-21633699079357296,-25580513164295232,1028997388914059808
%N A109144 G.f.: cube root of theta series of E*_6 lattice (cf. A005129).
%H A109144 Vaclav Kotesovec, <a href="/A109144/b109144.txt">Table of n, a(n) for n = 0..1000</a>
%H A109144 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%t A109144 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_ *)
%K A109144 sign
%O A109144 0,3
%A A109144 _N. J. A. Sloane_ and _Nadia Heninger_, Aug 18 2005