A122924 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 w.

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

Offset

0,17

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, A122923, A002331.

Sequence in context: A287002 A119346 A014586 * A133450 A029410 A242082

Adjacent sequences: A122921 A122922 A122923 * A122925 A122926 A122927

Keyword

nonn

Author

Franklin T. Adams-Watters, Sep 19 2006

Status

approved