id:A014458 - OEIS Search Results

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Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 4, 1; 0, 1, 2 ].

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1, 4, 12, 0, 20, 8, 10, 8, 28, 4, 32, 16, 0, 8, 40, 8, 52, 8, 12, 16, 40, 0, 40, 16, 26, 20, 64, 0, 40, 24, 0, 24, 60, 8, 72, 16, 20, 24, 40, 0, 64, 24, 32, 16, 80, 8, 80, 16, 0, 28, 84, 16, 40, 24, 10, 16, 104, 0, 96, 32, 40, 24, 40, 8, 116, 32, 0, 32, 40, 16, 80, 48, 28, 16, 128, 0, 80 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`This is the tetragonal I lattice (the even holotype) of dimension 3.`
	LINKS	`John Cannon, Table of n, a(n) for n = 0..5000` `G. Nebe and N. J. A. Sloane, Home page for this lattice`
	FORMULA	`a(n) = coefficient of q^2n in theta3(q)^2*theta3(q^3). Theta series of even sublattice of Z^2+sqrt(3)Z - Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 07 2002`
	EXAMPLE	`1 + 4q^2 + 12q^4 + 20q^8 + 8q^10 + 10q^12 + 8q^14 + 28q^16 + 4q^18 + ...`
	CROSSREFS	`Sequence in context: A118197 A092658 A113314 this_sequence A099733 A016487 A104063` `Adjacent sequences: A014455 A014456 A014457 this_sequence A014459 A014460 A014461`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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