A372613 Number of solutions to x^2 + y^2 + z^2 + w^2 <= n, where x, y, z, w are positive odd integers.

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 11, 11, 11, 11, 11, 11, 19, 19, 19, 19, 19, 19, 19, 19, 32, 32, 32, 32, 32, 32, 32, 32, 44, 44, 44, 44, 44, 44, 44, 44, 58, 58, 58, 58, 58, 58, 58, 58, 82, 82, 82, 82, 82, 82, 82, 82, 100, 100, 100, 100, 100, 100, 100, 100

Offset

0,13

Links

Table of n, a(n) for n=0..75.

Index entries for sequences related to sums of squares

Mathematica

nmax = 75; CoefficientList[Series[EllipticTheta[2, 0, x^4]^4/(16 (1 - x)), {x, 0, nmax}], x]

Crossrefs

Cf. A008438, A046895, A224213, A349611, A372511, A372512.

Sequence in context: A341034 A341035 A200325 * A355588 A289119 A117878

Adjacent sequences: A372610 A372611 A372612 * A372614 A372615 A372616

Keyword

nonn

Author

Ilya Gutkovskiy, May 07 2024

Status

approved