A022047 - OEIS

A022047

Theta series of D_16 lattice.

1, 480, 29152, 525952, 3994080, 18626112, 67978880, 197120256, 509145568, 1143441760, 2428524096, 4658843520, 8705492608, 15000919872, 25593401600, 40864033536, 65187410400, 98098623936, 148724365664, 213678303360, 310833534528, 430766443520, 605650030464, 813970121472

(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. 118.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

MATHEMATICA

terms = 18; s = EllipticTheta[3, 0, x]^16 + O[x]^(2 terms); Partition[ CoefficientList[s, x], 2][[All, 1]][[1 ;; terms]] (* Jean-François Alcover, Jul 06 2017 *)

CROSSREFS

a(n) = A000152(2*n).

Sequence in context: A329536 A331768 A035314 * A107511 A288471 A008410

Adjacent sequences: A022044 A022045 A022046 * A022048 A022049 A022050

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Seiichi Manyama, Oct 16 2018

STATUS

approved