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A005877 Theta series of cubic lattice with respect to square.
(Formerly M3322)
5
4, 8, 8, 16, 12, 8, 24, 16, 16, 24, 16, 16, 28, 32, 8, 32, 32, 16, 40, 16, 16, 40, 40, 32, 36, 16, 24, 48, 32, 24, 40, 48, 16, 56, 32, 16, 64, 40, 32, 32, 36, 40, 48, 48, 32, 48, 48, 16, 80, 40, 24, 80 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 107.

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

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

G. Nebe and N. J. A. Sloane, Home page for this lattice

FORMULA

a(n) = 4*A045828(n).

MATHEMATICA

terms = 52; QP = QPochhammer; s = 4*(QP[q^2]^3*QP[q^4]^2)/QP[q]^2 + O[q]^terms; CoefficientList[s, q] (* Jean-Fran├žois Alcover, Jul 05 2017 *)

CROSSREFS

Cf. A045828.

Sequence in context: A273572 A273779 A114027 * A144174 A256816 A098354

Adjacent sequences:  A005874 A005875 A005876 * A005878 A005879 A005880

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 19 16:25 EST 2019. Contains 319307 sequences. (Running on oeis4.)