A055414 Number of points in Z^8 of norm <= n.

1, 17, 1713, 33809, 306049, 1733537, 7259297, 24499121, 70554353, 179773681, 415055025, 886597537, 1773617697, 3355533537, 6058457297, 10510672945, 17588781393, 28537047057, 45040906785, 69369596001, 104503770913

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Comments

Numbers so far are all 1 mod 16. - Ralf Stephan, Jul 07 2003

Links

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

Crossrefs

Column k=8 of A302997.

Formula

a(n) = [x^(n^2)] theta_3(x)^8/(1 - x), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 14 2018