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Search: id:A004024
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| A004024 |
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Theta series of b.c.c. lattice with respect to deep hole.
(Formerly M3227)
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+0
2
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| 4, 4, 8, 12, 4, 12, 12, 12, 16, 16, 8, 8, 28, 12, 20, 24, 8, 16, 28, 12, 16, 28, 20, 32, 20, 16, 16, 32, 20, 24, 28, 8, 36, 44, 12, 32, 36, 16, 24, 20, 28, 20, 56, 28, 16, 40, 20, 40, 44, 12, 36, 40, 20, 32, 40, 16, 24, 60, 32, 36, 40, 24, 32, 60, 24, 40, 24, 20, 60, 36, 24, 32, 56, 32
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Ono and Skinner, Ann. Math., 147 (1998), 453-470.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
G. Nebe and N. J. A. Sloane, Home page for this lattice
Index entries for sequences related to b.c.c. lattice
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FORMULA
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4*eta(32z)^4/eta(8z) = 4*Sum q^(x^2+2y^2+2z^2), x, y, z >= 1 and odd.
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CROSSREFS
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4*A045831.
Adjacent sequences: A004021 A004022 A004023 this_sequence A004025 A004026 A004027
Sequence in context: A046558 A014687 A152967 this_sequence A086663 A003829 A002368
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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