id:A080918 - OEIS Search Results

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Number of integer solutions to the equation 2x^2+y^2+32z^2=n.

+0
2

1, 2, 2, 4, 2, 0, 4, 0, 2, 6, 0, 4, 4, 0, 0, 0, 2, 4, 6, 4, 0, 0, 4, 0, 4, 2, 0, 8, 0, 0, 0, 0, 4, 12, 8, 8, 10, 0, 12, 0, 4, 16, 0, 12, 12, 0, 0, 0, 8, 10, 14, 16, 0, 0, 16, 0, 8, 12, 0, 20, 0, 0, 0, 0, 6, 16, 16, 4, 16, 0, 8, 0, 6, 12, 0, 12, 12, 0, 0, 0, 8, 14, 8, 20, 0, 0, 20, 0, 4, 20, 0, 8, 0 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: theta_3(q)theta_3(q^2)theta_3(q^32).`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=xO(x^n); polcoeff( eta(x^2+A)^3eta(x^4+A)^3eta(x^64+A)^5/ (eta(x+A)eta(x^8+A)eta(x^32+A)eta(x^128+A))^2, n))}`
	CROSSREFS	`a(2n-1)=A072069(n).` `Sequence in context: A082564 A133692 A139093 this_sequence A033758 A033750 A033746` `Adjacent sequences: A080915 A080916 A080917 this_sequence A080919 A080920 A080921`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos, Feb 23 2003`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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