A369220 Number of compositions (ordered partitions) of n into squarefree parts not greater than sqrt(n).

1, 1, 1, 1, 5, 8, 13, 21, 34, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415, 223317, 410744, 755476, 1389537, 4586976, 8662591, 16359466, 30895160, 58346092, 110187694, 208091537, 392984789, 742159180, 1401581598, 2646913261, 7359931330, 14066178853

Offset: 0

Author

Ilya Gutkovskiy, Jan 16 2024

Keywords

• nonn

Crossrefs

Cf. A280194, A364526.

Programs

Mathematica

Table[SeriesCoefficient[1/(1 - Sum[Boole[SquareFreeQ[k]] x^k, {k, 1, Floor[Sqrt[n]]}]), {x, 0, n}], {n, 0, 37}]