id:A028959 - OEIS Search Results

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Theta series of quadratic form with Gram matrix [ 2, 1; 1, 12 ].

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

	OFFSET	`0,2`
	COMMENT	`theta[2,1;1,2d](z)=theta_3(z)theta_3((4d-1)z)+theta_2(z)theta_2((4d-1)z), generalizing the formula for theta(A_2), which is the case d=1 - Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 16 2000.`
	LINKS	`John Cannon, Table of n, a(n) for n = 0..5000`
	FORMULA	`G.f.: (theta_3(z)theta_3(23z)+theta_2(z)theta_2(23z)).`
	EXAMPLE	`1 + 2q^2 + 2q^8 + 4q^12 + 4q^16 + 2q^18 + 4q^24 + 2q^32 + 4q^36 + 2q^46 + 4q^48 + 2q^50 + 4q^52 + 4q^54 + 4q^64 + 6q^72 + 4q^78 + 8*q^96 + ...`
	CROSSREFS	`Sequence in context: A095759 A046113 A143068 this_sequence A079181 A093693 A025436` `Adjacent sequences: A028956 A028957 A028958 this_sequence A028960 A028961 A028962`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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