A055414 - OEIS

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

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OFFSET

0,2

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

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

CROSSREFS

Column k=8 of A302997.

Sequence in context: A373856 A222905 A071826 * A156675 A276808 A088465

Adjacent sequences: A055411 A055412 A055413 * A055415 A055416 A055417

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved