The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096021 Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares. 0
1507, 4323, 5947, 10707, 19723, 30067, 34483, 47107, 58843, 77683, 111763, 106723, 126043, 166147, 164803, 222643, 217627, 232243, 289963, 319243, 300787, 319867, 462883, 393187, 546067, 532123, 502483, 615883, 662803, 606643 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
These are conjectured values. The Mathematica program checks numbers up to 10^6.
LINKS
MATHEMATICA
lim=1000; nLst=Table[0, {lim^2}]; Do[n=a^2+b^2+c^2; If[n>0 && n<lim^2, nLst[[n]]++ ], {a, lim}, {b, a+1, Sqrt[lim^2-a^2]}, {c, b+1, Sqrt[lim^2-a^2-b^2]}]; Table[Last[Select[Flatten[Position[nLst, k]], Mod[ #, 4]>0&]], {k, 30}]
CROSSREFS
Cf. A025415 (least sum of 3 distinct nonzero squares in exactly n ways).
Sequence in context: A092725 A097034 A059464 * A190032 A237319 A281569
KEYWORD
nonn
AUTHOR
T. D. Noe, Jun 15 2004
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 08:56 EDT 2024. Contains 372733 sequences. (Running on oeis4.)