A055408 Number of points in N^9 of norm <= n.

1, 10, 265, 2780, 19250, 91067, 349122, 1115334, 3134307, 7903501, 18286018, 39418159, 79946582, 154050794, 283766861, 503208408, 861586362, 1432132554, 2314882321, 3655071196, 5640732550, 8538547541, 12683700617, 18541085573

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Links

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

Crossrefs

Column k=9 of A302998.

Formula

a(n) = [x^(n^2)] (1 + theta_3(x))^9/(512*(1 - x)), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018