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A022079 Theta series of D*_26 lattice. 1
1, 0, 52, 0, 1300, 0, 20800, 0, 239252, 0, 2107560, 0, 14797120, 67108864, 85155200, 0, 410468500, 1744830464, 1688240372, 0, 6030043240, 21810380800, 19043826880, 0, 54177864000, 176227876864, 141373532200, 0, 343594659200, 1046898278400, 786344740480, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

LINKS

Andy Huchala, Table of n, a(n) for n = 0..20000

EXAMPLE

G.f. = 1 + 52*q^2 + 1300*q^4 + ...

PROG

(Sage)

L = [1, 0, 52, 0, 1300, 0, 20800]

M = ModularForms(Gamma1(4), 13)

bases = [_.q_expansion(20) for _ in M.integral_basis()]

f = sum(x*y for (x, y) in zip(bases, L)); list(f)

CROSSREFS

Sequence in context: A214373 A230299 A308235 * A230107 A275412 A100990

Adjacent sequences:  A022076 A022077 A022078 * A022080 A022081 A022082

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Andy Huchala, Jul 14 2021

STATUS

approved

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Last modified November 28 20:58 EST 2021. Contains 349415 sequences. (Running on oeis4.)