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Search: id:A005874
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| A005874 |
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Theta series of hexagonal close-packing with respect to triangle between tetrahedra.
(Formerly M2236)
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+0
1
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| 0, 3, 2, 0, 3, 12, 0, 6, 0, 6, 0, 12, 6, 6, 12, 12, 3, 0, 2, 6, 0, 24, 0, 24, 6, 3, 0, 24, 6, 12, 12, 6, 0, 12, 0, 0, 18, 6, 12, 48, 0, 24, 0, 6, 0, 36, 0, 0, 6, 9, 14, 24, 6, 12, 12, 0, 0, 48, 0, 36, 24, 6, 12
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Sum[n<=x, a(n)^2] = 8Pi^4/(21 zeta(3)) * x^2. (Choi/Kumchev/Osburn)
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REFERENCES
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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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CROSSREFS
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Sequence in context: A114907 A131732 A088161 this_sequence A129239 A127571 A143612
Adjacent sequences: A005871 A005872 A005873 this_sequence A005875 A005876 A005877
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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