Sum of four squares
franktaw at netscape.net
franktaw at netscape.net
Mon Dec 18 22:19:50 CET 2006
http://www.research.att.com/~njas/sequences/A124978 is "Smallest number
which has exactly n different partitions as a sum of 4 squares
x^2+y^2+z^2+t^2."
Is it known that every number occurs as the number of partitions of
some number into 4 squares?
(Using the b-file for A002635, I have submitted enough additional terms
for A124978 to fill 3 lines. 426 is the smallest number that does not
appear in that file, so this certainly seems to be true.)
Franklin T. Adams-Watters
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