A122923 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, sequentially minimizing the value of x, y and z. a(n) is that z.

0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 0, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 4, 2, 3, 2, 2, 4, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 5, 4, 4, 5, 2, 4, 4, 3, 5, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 4

Offset: 0

Author

Franklin T. Adams-Watters, Sep 19 2006

Keywords

• nonn

Examples

			10 = 2^2 + 2^2 + 1^2 + 1^2, so a(10) = 1. The only representation for 11 is 3^2 + 1^2 + 1^2 + 0^2, so a(11) = 1.
		

Crossrefs

Cf. A122921, A122922, A122924.