A063730 - OEIS

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A063730

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

0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 6, 0, 4, 4, 0, 12, 1, 0, 12, 4, 6, 4, 12, 12, 0, 12, 6, 12, 12, 0, 24, 16, 0, 12, 18, 12, 13, 16, 12, 28, 6, 0, 36, 16, 12, 24, 24, 24, 4, 16, 30, 24, 18, 12, 36, 36, 0, 28, 42, 12, 36, 16, 24, 52, 1, 24, 48, 28, 18, 24, 60, 36, 12 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,8`
	LINKS	`T. D. Noe, Table of n, a(n) for n = 0..10000`
	FORMULA	`G.f.: (Sum_{m=1..inf} x^(m^2))^4.` `a(n) = ( A000118(n) - 4A005875(n) + 6A004018(n) - 4*A000122(n) + A000007(n) )/16. From Max Alekseyev, Sep 29 2012`
	CROSSREFS	`Cf. A063691, A063725.` `Sequence in context: A021718 A193108 A212044 * A131431 A016678 A055028` `Adjacent sequences: A063727 A063728 A063729 * A063731 A063732 A063733`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane, Aug 23 2001`
	STATUS	`approved`

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Last modified May 23 03:06 EDT 2013. Contains 225585 sequences.