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A298935 Number of partitions of n^3 into distinct squares. 4
1, 1, 0, 0, 1, 5, 8, 40, 96, 297, 1269, 3456, 12839, 46691, 153111, 577167, 2054576, 7602937, 29000337, 110645967, 418889453, 1580667760, 6058528796, 23121913246, 89793473393, 350029321425, 1359919742613, 5340642744919, 20948242218543, 82505892314268 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,6
LINKS
FORMULA
a(n) = [x^(n^3)] Product_{k>=1} (1 + x^(k^2)).
a(n) = A033461(A000578(n)).
EXAMPLE
a(5) = 5 because we have [121, 4], [100, 25], [100, 16, 9], [64, 36, 25] and [64, 36, 16, 9].
MATHEMATICA
Table[SeriesCoefficient[Product[1 + x^k^2, {k, 1, Floor[n^(3/2) + 1]}], {x, 0, n^3}], {n, 0, 29}]
CROSSREFS
Sequence in context: A176757 A280965 A151349 * A258786 A192272 A073930
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 29 2018
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)