A369342 - OEIS

%I #4 Jan 22 2024 05:55:29

%S 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,

%T 1728,2385,3292,4544,6272,8657,11949,16493,22765,31422,43371,59864,

%U 82629,114051,157422,217286,299915,413966,571388,788674,1088589,1502555

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

%t Table[SeriesCoefficient[1/(1 - Sum[x^(k^2), {k, 1, Floor[n^(1/4)]}]), {x, 0, n}], {n, 0, 46}]

%Y Cf. A006456, A364526.

%K nonn

%O 0,17

%A _Ilya Gutkovskiy_, Jan 20 2024