

A008435


Theta series of {D_7}^{+} packing.


1



1, 0, 0, 0, 0, 0, 0, 64, 84, 0, 0, 0, 0, 0, 0, 448, 574, 0, 0, 0, 0, 0, 0, 1344, 1288, 0, 0, 0, 0, 0, 0, 2688, 3444, 0, 0, 0, 0, 0, 0, 4928, 4424, 0, 0, 0, 0, 0, 0, 8064, 9240, 0, 0, 0, 0, 0, 0, 11200, 11088, 0, 0, 0
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OFFSET

0,8


REFERENCES

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


LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Jacobi Theta Functions


FORMULA

From Seiichi Manyama, Oct 21 2018: (Start)
Expansion of (theta_2(q)^7 + theta_3(q)^7 + theta_4(q)^7)/2 in powers of q^(1/4).
Expansion of (Sum_{k=inf..inf} q^((k+1/2)^2))^7 + (Sum_{k=inf..inf} q^(k^2))^7 + (Sum_{k=inf..inf} (1)^k * q^(k^2))^7 in powers of q^(1/4). (End)


EXAMPLE

G.f.: 1 + 64*q^(7/4) + 84*q^2 + 448*q^(15/4) + 574*q^4 + ... .


CROSSREFS

Cf. A008429.
Sequence in context: A057372 A057442 A141817 * A223083 A302169 A302640
Adjacent sequences: A008432 A008433 A008434 * A008436 A008437 A008438


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



