id:A028613 - OEIS Search Results

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Expansion of (theta_3(z)*theta_3(12z)+theta_2(z)*theta_2(12z)).

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

	OFFSET	`0,5`
	COMMENT	`Expansion of theta_3(q)theta_3(q^12)+theta_2(q)*theta_2(q^12) in powers of q^(1/4).`
	FORMULA	`a(8n+7)=a(8n+6)=a(8n+3)=a(8n+2)=a(8n+1)=a(16n+8)=a(16n+12)=0.`
	PROGRAM	`(PARI) a(n)=local(X); if(n<0, 0, X=x+xO(x^n); polcoeff((eta(X^8)eta(X^96))^5/(eta(X^4)eta(X^16)eta(X^48)eta(X^192))^2+4x^\ 13(eta(X^16)eta(X^192))^2/(eta(X^8)*eta(X^96)), n))`
	CROSSREFS	`Sequence in context: A084863 A073346 A114099 this_sequence A024362 A104488 A010103` `Adjacent sequences: A028610 A028611 A028612 this_sequence A028614 A028615 A028616`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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