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Search: id:A023902
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| A023902 |
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Theta series of A_11 lattice. |
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+0
14
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| 1, 132, 2970, 19800, 66462, 194832, 420684, 881760, 1511730, 2770284, 4134240, 6754968, 9491130, 14310120, 18773964, 27609648, 34253142, 47864520, 58862870, 78974808, 93470652
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.
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PROGRAM
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theta3(k, n, prec, f, m)=f=polcyclo(n); 1+sum(m=1, sqrtint(prec), Mod(x^(m*k%n)+x^(m*(n-k)%n), f)*q^sqr(m))+O(q^(prec+1))
aaa(n, prec, k, m)=sum(k=0, n-1, theta3(k, n, prec)^n)/n/(1+2*sum(m=1, sqrtint(floor(prec/n)), q^(n*sqr(m)))+O(q^(prec+1)))
doit(m, prec)=subst(lift(aaa(m+1, prec)), x, 0) gives theta series of A_m to order "prec"
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CROSSREFS
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Sequence in context: A119982 A129975 A064303 this_sequence A035837 A035818 A146522
Adjacent sequences: A023899 A023900 A023901 this_sequence A023903 A023904 A023905
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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PARI code from Robert.Harley(AT)inria.fr
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