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A071342 a(n) = the maximum number of lattice points touched by an origin-centered sphere with radius <= n. 5
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..53.

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).

PROG

(FORTRAN) See A071339.

CROSSREFS

Cf. A005875, A071339-A071347.

Sequence in context: A083494 A126857 A161348 * A125056 A011987 A036690

Adjacent sequences:  A071339 A071340 A071341 * A071343 A071344 A071345

KEYWORD

easy,nonn

AUTHOR

Hugo Pfoertner, May 22 2002

EXTENSIONS

Edited by Don Reble, Nov 06 2005

STATUS

approved

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Last modified April 13 12:29 EDT 2021. Contains 342936 sequences. (Running on oeis4.)