id:A029671 - OEIS Search Results

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

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1, 2, 6, 8, 6, 8, 4, 8, 18, 10, 4, 20, 16, 0, 12, 16, 14, 16, 18, 12, 24, 8, 12, 32, 12, 14, 2, 32, 20, 16, 16, 8, 42, 16, 8, 40, 30, 16, 28, 0, 12, 12, 24, 32, 40, 24, 8, 40, 32, 14, 30, 32, 0, 40, 16, 16, 36, 24, 20, 44, 40, 8, 28, 40, 30, 4, 16, 44, 48, 16, 16, 40, 54, 12, 28, 40, 24 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`This is the monoclinic P 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)theta3(q^3)theta3(q^5). Theta series of even sublattice of Z+Z^3+Z^5 - Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 07 2002`
	EXAMPLE	`1 + 2q^2 + 6q^4 + 8q^6 + 6q^8 + 8q^10 + 4q^12 + 8q^14 + 18q^16 + 10*q^18 + ...`
	CROSSREFS	`Sequence in context: A145500 A065129 A074758 this_sequence A154970 A011224 A021376` `Adjacent sequences: A029668 A029669 A029670 this_sequence A029672 A029673 A029674`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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