A055407 Number of points in N^8 of norm <= n.

1, 9, 171, 1420, 8262, 33044, 111155, 312913, 793049, 1807754, 3834490, 7601982, 14333819, 25683401, 44367189, 73913316, 119544010, 187884853, 288597817, 433331391, 638511294, 923461382, 1314459790, 1842974369, 2550288371

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Links

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

Crossrefs

Column k=8 of A302998.

Formula

a(n) = [x^(n^2)] (1 + theta_3(x))^8/(256*(1 - x)), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018