id:A028572 - OEIS Search Results

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Expansion of theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z) in powers of q^(1/4).

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1, 0, 0, 4, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 6, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 12, 2, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`Expansion of phi(q^4)phi(q^8) +4q^3psi(q^8)psi(q^16) in powers of q where phi(),psi() are Ramanujan theta functions.` `G.f.: Sum_{n,m} x^(3(n^2+m^2)+2nm) . - Michael Somos Nov 20 2006 /`
	EXAMPLE	`1 + 4q^(3/4) +2q +2q^2 +4q^(11/4) +4q^3 +2q^4 + 4q^(19/4) +4q^6 + ...`
	PROGRAM	`(PARI) {a(n)=if(n<1, n==0, qfrep([3, 1; 1, 3], n)[n]2)} / Michael Somos Nov 20 2006 */`
	CROSSREFS	`Sequence in context: A036115 A056582 A105087 this_sequence A107492 A159257 A107088` `Adjacent sequences: A028569 A028570 A028571 this_sequence A028573 A028574 A028575`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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