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A347779
Number of compositions (ordered partitions) of n into at most 4 squarefree parts.
5
1, 1, 2, 4, 7, 13, 21, 30, 41, 55, 75, 94, 111, 129, 158, 192, 224, 249, 290, 346, 403, 439, 488, 556, 639, 686, 749, 828, 939, 1002, 1081, 1173, 1304, 1373, 1464, 1579, 1750, 1838, 1963, 2111, 2337, 2423, 2574, 2740, 3023, 3120, 3292, 3511, 3858, 3978, 4157, 4413
OFFSET
0,3
MATHEMATICA
Table[Length@Flatten[Permutations/@IntegerPartitions[n, 4, Select[Range@n, SquareFreeQ]], 1], {n, 0, 51}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 13 2021
STATUS
approved