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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-François 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 STATUS approved

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Last modified February 5 03:48 EST 2023. Contains 360082 sequences. (Running on oeis4.)