A055404 Number of points in N^5 of norm <= n.

1, 6, 36, 157, 482, 1203, 2673, 5139, 9389, 15930, 25810, 39855, 59711, 86346, 122467, 168957, 229743, 305153, 400844, 518154, 662629, 835490, 1044410, 1292216, 1588236, 1930057, 2334622, 2798143, 3340038, 3955063, 4663169

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..500

Crossrefs

Column k=5 of A302998.

Formula

a(n) = [x^(n^2)] (1 + theta_3(x))^5/(32*(1 - x)), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018