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A006914 Theta series of laminated lattice LAMBDA_12^{max}.
(Formerly M5468)
1
1, 0, 648, 3072, 20232, 36864, 158112, 202752, 646920, 712704, 2025648, 1926144, 4936608, 4460544, 10891584, 9160704, 20700936, 17031168, 38421864, 29703168, 63245232, 49201152, 104361696, 77285376, 157848480, 117227520, 240598512, 172849152, 340059456 (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. 157.

E. C. Pervin, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

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

PROG

(Sage)

M = ModularForms(Gamma0(4), 6, prec=20)

bases = M.integral_basis()

f = sum(x*y for (x, y) in zip(bases, [1, 0, 648, 3072]))

f.coefficients(range(20)) # Andy Huchala, Jun 19 2021

CROSSREFS

Sequence in context: A157432 A272780 A171606 * A337313 A204392 A233677

Adjacent sequences:  A006911 A006912 A006913 * A006915 A006916 A006917

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Andy Huchala, Jun 19 2021

STATUS

approved

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Last modified December 8 05:15 EST 2021. Contains 349590 sequences. (Running on oeis4.)