id:A005884 - OEIS Search Results

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Theta series of f.c.c. lattice with respect to edge.
(Formerly M0940)

+0
2

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)

	OFFSET	`0,1`
	REFERENCES	`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.`
	LINKS	`Index entries for sequences related to f.c.c. lattice`
	PROGRAM	`(PARI) A045828(n)={ if(n<0, 0, A=xO(x^n) ; polcoeff( eta(x^2+A)^3eta(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`
	CROSSREFS	`a(n)=2*A045828(n).` `Sequence in context: A131136 A140434 A107748 this_sequence A079890 A065608 A077764` `Adjacent sequences: A005881 A005882 A005883 this_sequence A005885 A005886 A005887`
	KEYWORD	`nonn`
	AUTHOR	`njas`
	EXTENSIONS	`More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 06 2007`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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