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Search: id:A005884
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| A005884 |
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Theta series of f.c.c. lattice with respect to edge.
(Formerly M0940)
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+0
2
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| 2, 4, 4, 8, 6, 4, 12, 8, 8, 12, 8, 8, 14, 16, 4, 16, 16, 8, 20, 8, 8, 20, 20, 16, 18, 8, 12, 24, 16, 12, 20, 24, 8, 28, 16, 8, 32, 20, 16, 16, 18, 20, 24, 24, 16, 24, 24, 8, 40, 20, 12, 40, 16, 12, 20, 24, 16, 40, 36, 16, 22, 24, 24, 32, 16, 12, 40, 32, 24, 28, 16, 24, 40, 28, 12
(list; graph; listen)
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OFFSET
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0,1
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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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LINKS
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Index entries for sequences related to f.c.c. lattice
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PROGRAM
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(PARI) A045828(n)={ if(n<0, 0, A=x*O(x^n) ; polcoeff( eta(x^2+A)^3*eta(x^4+A)^2/eta(x+A)^2, n) ; ) ; } A005884(n)={ 2*A045828(n) ; } { for(n=0, 100, print1(A005884(n), ", ") ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 06 2007
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CROSSREFS
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a(n)=2*A045828(n).
Sequence in context: A117973 A140434 A107748 this_sequence A079890 A065608 A077764
Adjacent sequences: A005881 A005882 A005883 this_sequence A005885 A005886 A005887
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 06 2007
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