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Number of partitions of n into squares not greater than sqrt(n).
0

%I #4 Jan 22 2024 05:55:09

%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,

%T 9,9,10,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,15,

%U 15,15,15,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,19,20,20,20,20,21,108,110,112,115,118

%N Number of partitions of n into squares not greater than sqrt(n).

%t Table[SeriesCoefficient[Product[1/(1 - x^(k^2)), {k, 1, Floor[n^(1/4)]}], {x, 0, n}], {n, 0, 85}]

%Y Cf. A001156, A097356.

%K nonn

%O 0,17

%A _Ilya Gutkovskiy_, Jan 20 2024