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A005925 Theta series of diamond.
(Formerly M3184)
+0
1
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; listen)
OFFSET

0,4

REFERENCES

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

N. J. A. Sloane, Theta series and magic numbers for diamond and certain ionic crystal structures, J. Math. Phys. 28 (1987), 1653-1657.

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

FORMULA

(theta_2^3 + theta_3^3 + theta_4^3) / 2.

CROSSREFS

Sequence in context: A133886 A061859 A108708 this_sequence A070206 A136448 A128975

Adjacent sequences: A005922 A005923 A005924 this_sequence A005926 A005927 A005928

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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