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 A005925 Theta series of diamond. (Formerly M3184) 6
 1, 0, 0, 4, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 6, 0, 0, 12, 0, 0, 0, 0, 24, 0, 0, 16, 0, 0, 0, 0, 12, 0, 0, 24, 0, 0, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 0, 0, 48, 0, 0, 36, 0, 0, 0, 0, 6, 0, 0, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS a(n) > 0 iff n is in A047470. - Robert Israel, Jul 06 2016 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Robert Israel, Table of n, a(n) for n = 0..10000 J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, p. 120. G. L. Hall, Comment on the paper "Theta series and magic numbers for diamond and certain ionic crystal structures" [J. Math. Phys. 28, 1653 (1987)]. Journal of Mathematical Physics; Sep. 1988, Vol. 29 Issue 9, pp. 2090-2092. - From N. J. A. Sloane, Dec 18 2012 N. J. A. Sloane, Theta series and magic numbers for diamond and certain ionic crystal structures, J. Math. Phys. 28 (1987), 1653-1657. FORMULA (theta_2^3 + theta_3^3 + theta_4^3) / 2. MAPLE S:= series((JacobiTheta2(0, z^4)^3 + JacobiTheta3(0, z^4)^3 + JacobiTheta4(0, z^4)^3)/2, z, 101): seq(coeff(S, z, j), j=0..100); # Robert Israel, Jul 06 2016 MATHEMATICA terms = 68; s = Simplify[Normal[(EllipticTheta[2, 0, z^4]^3 + EllipticTheta[3, 0, z^4]^3 + EllipticTheta[4, 0, z^4]^3)/2 + O[z]^terms], z > 0]; CoefficientList[s, z] (* Jean-François Alcover, Jul 07 2017 *) CROSSREFS Cf. A005926, A005927, A047470, A217512, A217513, A217514. Sequence in context: A108708 A290322 A274948 * A333037 A070206 A228368 Adjacent sequences:  A005922 A005923 A005924 * A005926 A005927 A005928 KEYWORD nonn,nice AUTHOR STATUS approved

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Last modified June 2 14:21 EDT 2020. Contains 334787 sequences. (Running on oeis4.)