id:A046113 - OEIS Search Results

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Coefficients in expansion of theta_3(q) * theta_3(q^6).

+0
2

1, 2, 0, 0, 2, 0, 2, 4, 0, 2, 4, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 4, 0, 2, 6, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 2, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 8, 0, 0, 4, 0, 4, 0, 0, 4, 2, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Number of representations of n as a sum of six times a square and a square. - Ralf Stephan, May 14 2007`
	REFERENCES	`J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p 102 eq 9.`
	LINKS	`A. Berkovich and H. Yesilyurt, Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms`
	FORMULA	`Coefficients in expansion of Sum_{ i, j = -inf .. inf } q^(i^2+6*j^2).`
	CROSSREFS	`Sequence in context: A110036 A086937 A095759 this_sequence A028959 A079181 A093693` `Adjacent sequences: A046110 A046111 A046112 this_sequence A046114 A046115 A046116`
	KEYWORD	`nonn`
	AUTHOR	`njas, May 18 2002`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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