A055404 - OEIS

A055404

Number of points in N^5 of norm <= n.

1, 6, 36, 157, 482, 1203, 2673, 5139, 9389, 15930, 25810, 39855, 59711, 86346, 122467, 168957, 229743, 305153, 400844, 518154, 662629, 835490, 1044410, 1292216, 1588236, 1930057, 2334622, 2798143, 3340038, 3955063, 4663169

(list; graph; refs; listen; history; text; internal format)

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))^5/(32*(1 - x)), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Apr 15 2018

CROSSREFS

Column k=5 of A302998.

Sequence in context: A357025 A357085 A224149 * A223946 A223919 A263952

Adjacent sequences: A055401 A055402 A055403 * A055405 A055406 A055407

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved