id:A071342 - OEIS Search Results

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a(n) = the maximum number of lattice points touched by an origin-centered sphere with radius <= n.

+0
6

6, 12, 30, 48, 48, 72, 96, 96, 120, 144, 168, 168, 192, 240, 240, 240, 264, 312, 336, 336, 336, 384, 384, 384, 408, 432, 480, 480, 504, 528, 552, 552, 552, 672, 672, 696, 720, 720, 720, 720, 768, 768, 816, 864, 864, 864, 936, 936, 936, 936, 936, 1008, 1008 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = max(i=0 to n^2) A005875(i)`
	EXAMPLE	`a(4 to 5)=48 because the sphere with radius sqrt(14) touches 48 lattice points; but no sphere touches more, until the radius is sqrt(26).`
	PROGRAM	`(FORTRAN) See A071339.`
	CROSSREFS	`Cf. A005875, A071339-A071347.` `Sequence in context: A080289 A126857 A161348 this_sequence A125056 A011987 A036690` `Adjacent sequences: A071339 A071340 A071341 this_sequence A071343 A071344 A071345`
	KEYWORD	`easy,nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), May 22 2002`
	EXTENSIONS	`Edited by Don Reble (djr(AT)nk.ca), Nov 06 2005`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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