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A347780
Number of compositions (ordered partitions) of n into at most 5 squarefree parts.
4
1, 1, 2, 4, 7, 14, 26, 45, 71, 105, 151, 214, 291, 379, 473, 593, 744, 919, 1095, 1301, 1563, 1884, 2203, 2536, 2929, 3427, 3929, 4433, 4979, 5692, 6422, 7158, 7904, 8863, 9844, 10830, 11810, 13078, 14378, 15706, 17007, 18718, 20424, 22165, 23803, 26025
OFFSET
0,3
MATHEMATICA
Table[Length@Flatten[Permutations/@IntegerPartitions[n, 5, Select[Range@n, SquareFreeQ]], 1], {n, 0, 45}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 13 2021
STATUS
approved