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 A005888 Theta series of hexagonal close-packing with respect to edge between layers. (Formerly M0008) 2
 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 4, 0, 2, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 4, 0, 8, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 8, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 8, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 12, 0, 0, 0, 4, 0, 12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 12, 0, 0, 0, 4, 0, 8, 0, 0, 0, 4, 0, 8, 0, 0, 0, 4, 0, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Sean A. Irvine, Table of n, a(n) for n = 0..999 N. J. A. Sloane and B. K. Teo, Theta series and magic numbers for close-packed spherical clusters, J. Chem. Phys. 83 (1985) 6520-6534. FORMULA Expansion of theta2(q^(4/3)) * (theta2(q^2)*psi(3, q^6) + theta3(q^2)*psi(6, q^6)) in q^(1/6) where psi(k, q) = Sum_{m=-infinity..infinity} q^((m+1/k)^2) and theta2 and theta3 are Jacobi theta functions [From Sloane and Teo]. - Sean A. Irvine, Sep 25 2016 CROSSREFS Sequence in context: A325787 A005929 A005871 * A213902 A170770 A107499 Adjacent sequences:  A005885 A005886 A005887 * A005889 A005890 A005891 KEYWORD easy,nonn AUTHOR EXTENSIONS More terms from Sean A. Irvine, Sep 25 2016 STATUS approved

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Last modified February 23 04:49 EST 2020. Contains 332159 sequences. (Running on oeis4.)