id:A063691 - OEIS Search Results

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Number of solutions to x^2 + y^2 + z^2 = n in positive integers.

+0
3

0, 0, 0, 1, 0, 0, 3, 0, 0, 3, 0, 3, 1, 0, 6, 0, 0, 3, 3, 3, 0, 6, 3, 0, 3, 0, 6, 4, 0, 6, 6, 0, 0, 6, 3, 6, 3, 0, 9, 0, 0, 9, 6, 3, 3, 6, 6, 0, 1, 6, 6, 6, 0, 6, 12, 0, 6, 6, 0, 9, 0, 6, 12, 0, 0, 6, 12, 3, 3, 12, 6, 0, 3, 3, 12, 7, 3, 12, 6, 0, 0, 12, 3, 9, 6, 0, 15, 0, 3, 15 (list; graph; listen)

	OFFSET	`0,7`
	LINKS	`T. D. Noe, Table of n, a(n) for n = 0..10000`
	FORMULA	`G.f.: (Sum_{m=1..inf} x^(m^2))^3.`
	EXAMPLE	`a(5)=0; a(6)=3 because 1^2+1^2+2^2 = 1^2+2^2+1^2 = 2^2+1^2+1^2 = 6; a(27)=4 because 1^2+1^2+5^2 = 1^2+5^2+1^2 = 3^2+3^2+3^2 = 5^2+1^2+1^2 = 27;`
	CROSSREFS	`Cf. A063725, A063730.` `Sequence in context: A095104 A021337 A033685 this_sequence A075874 A111787 A091921` `Adjacent sequences: A063688 A063689 A063690 this_sequence A063692 A063693 A063694`
	KEYWORD	`easy,nice,nonn`
	AUTHOR	`Andrew A. Doroshev (andy(AT)ip.rsu.ru), Aug 23 2001`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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