id:A016725 - OEIS Search Results

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Number of integer solutions to x^2+y^2+z^2 = n^2, allowing zeros and distinguishing signs and order.

+0
2

1, 6, 6, 30, 6, 30, 30, 54, 6, 102, 30, 78, 30, 78, 54, 150, 6, 102, 102, 126, 30, 270, 78, 150, 30, 150, 78, 318, 54, 174, 150, 198, 6, 390, 102, 270, 102, 222, 126, 390, 30, 246, 270, 270, 78, 510, 150, 294, 30, 390, 150, 510, 78, 318, 318, 390, 54, 630, 174, 366 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Michael Gilleland, Some Self-Similar Integer Sequences` `Eric Weisstein's World of Mathematics, Sum of Squares Function`
	MAPLE	`for n from 0 to 60 do s:=0: for x from -n to n do for y from -n to n do for z from -n to n do if (x^2+y^2+z^2) = n^2 then s:=s+1 fi od od od: printf("%d, ", s) od:`
	CROSSREFS	`Cf. A005875.` `Sequence in context: A077193 A056482 A123874 this_sequence A151779 A066714 A054436` `Adjacent sequences: A016722 A016723 A016724 this_sequence A016726 A016727 A016728`
	KEYWORD	`nonn`
	AUTHOR	`csvcjld(AT)nomvst.lsumc.edu`
	EXTENSIONS	`Revised description and Maple program from C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 13 2004`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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