A347783 Number of compositions (ordered partitions) of n into at most 6 squarefree parts.

1, 1, 2, 4, 7, 14, 27, 51, 92, 155, 247, 376, 558, 805, 1118, 1495, 1962, 2551, 3282, 4127, 5106, 6286, 7750, 9442, 11326, 13459, 16037, 19011, 22277, 25804, 29939, 34692, 39938, 45455, 51736, 58848, 66696, 74836, 83927, 94114, 105372, 116992, 129902, 144223

Offset

0,3

Links

Table of n, a(n) for n=0..43.

Mathematica

Table[Length@Flatten[Permutations/@IntegerPartitions[n, 6, Select[Range@n, SquareFreeQ]], 1], {n, 0, 43}] (* Giorgos Kalogeropoulos, Sep 13 2021 *)

Crossrefs

Cf. A005117, A280194, A341066, A347777, A347778, A347779, A347780.

Sequence in context: A217933 A005594 A123196 * A079968 A280194 A001631

Adjacent sequences: A347780 A347781 A347782 * A347784 A347785 A347786

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 13 2021

Status

approved