The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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