A055409 - OEIS

A055409

Number of points in N^10 of norm <= n.

1, 11, 396, 5258, 43154, 241283, 1053323, 3813001, 11887373, 33107532, 83570177, 195642892, 427116918, 883782766, 1736506732, 3275680338, 5938894018, 10431199387, 17749369808, 29449543675, 47615028191, 75399727379

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OFFSET

0,2

LINKS

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

FORMULA

a(n) = [x^(n^2)] (1 + theta_3(x))^10/(1024*(1 - x)), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018

CROSSREFS

Column k=10 of A302998.

Sequence in context: A354513 A289731 A160391 * A067406 A046281 A180833

Adjacent sequences: A055406 A055407 A055408 * A055410 A055411 A055412

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved