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A369342
Number of compositions (ordered partitions) of n into squares not greater than sqrt(n).
0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 95, 131, 181, 250, 345, 476, 657, 907, 1252, 1728, 2385, 3292, 4544, 6272, 8657, 11949, 16493, 22765, 31422, 43371, 59864, 82629, 114051, 157422, 217286, 299915, 413966, 571388, 788674, 1088589, 1502555
OFFSET
0,17
MATHEMATICA
Table[SeriesCoefficient[1/(1 - Sum[x^(k^2), {k, 1, Floor[n^(1/4)]}]), {x, 0, n}], {n, 0, 46}]
CROSSREFS
Sequence in context: A207374 A057874 A112135 * A368873 A074237 A192180
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 20 2024
STATUS
approved