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A023915 Theta series of A_24 lattice. 0
1, 600, 75900, 3555800, 77836050, 924978120, 6901688200, 37479599400, 162981777750, 594965730200, 1897531134180, 5410666657200, 14097598363900, 33985515175800, 76830818652600, 164035898209360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.

LINKS

Table of n, a(n) for n=0..15.

EXAMPLE

1 + 600*q^2 + 75900*q^4 + 3555800*q^6 + O(q^8).

MATHEMATICA

terms = 16; f[q_] = LatticeData["A24", "ThetaSeriesFunction"][-I*Log[q]/Pi]; s = f[q] + O[q]^(2 terms); Partition[CoefficientList[s, q] // Round, 2][[All, 1]][[1 ;; terms]] (* Jean-Fran├žois Alcover, Jul 06 2017 *)

PROG

(MAGMA) L:=Lattice("A", 24); T1<q> := ThetaSeries(L, 10);

CROSSREFS

Sequence in context: A092183 A048530 A223463 * A035850 A093260 A008689

Adjacent sequences:  A023912 A023913 A023914 * A023916 A023917 A023918

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Robert.Harley(AT)inria.fr, see A023902.

STATUS

approved

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Last modified March 30 19:28 EDT 2020. Contains 333127 sequences. (Running on oeis4.)