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

0,13

Links

Table of n, a(n) for n=0..104.

Example

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.

Sequence in context: A321696 A321020 A204260 * A113971 A109338 A291191

Adjacent sequences: A122920 A122921 A122922 * A122924 A122925 A122926

Keyword

nonn

Author

Franklin T. Adams-Watters, Sep 19 2006

Status

approved