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 A298330 Number of ordered ways of writing n^2 as a sum of n squares of positive integers. 13
 1, 1, 0, 3, 1, 5, 141, 742, 6120, 43888, 300232, 3074478, 28901797, 290411147, 3175037698, 34951274416, 399750066121, 4814421349467, 59532792202344, 768079420764884, 10247011240209066, 140144002390928732, 1978092111496441512, 28633995987157024399 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..23. Index entries for sequences related to sums of squares FORMULA a(n) = [x^(n^2)] (Sum_{k>=1} x^(k^2))^n. EXAMPLE a(3) = 3 because we have [4, 4, 1], [4, 1, 4] and [1, 4, 4]. MATHEMATICA Table[SeriesCoefficient[(-1 + EllipticTheta[3, 0, x])^n/2^n, {x, 0, n^2}], {n, 0, 23}] CROSSREFS Cf. A037444, A066535, A232173, A287617, A298329. Sequence in context: A370333 A370433 A174424 * A210621 A226771 A096614 Adjacent sequences: A298327 A298328 A298329 * A298331 A298332 A298333 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 17 2018 STATUS approved

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)