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A122922
Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, minimizing the value of x, then minimizing y for that x. a(n) is that y.
5
0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 5, 4, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 5, 5, 4, 6, 6, 5, 5, 6, 5, 5, 6
OFFSET
0,9
EXAMPLE
10 = 2^2 + 2^2 + 1^2 + 1^2, so a(10) = 2. The only representation for 11 is 3^2 + 1^2 + 1^2 + 0^2, so a(11) = 1.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved