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Number of compositions (ordered partitions) of n into at most 6 squarefree parts.
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%I #6 Sep 14 2021 01:01:34

%S 1,1,2,4,7,14,27,51,92,155,247,376,558,805,1118,1495,1962,2551,3282,

%T 4127,5106,6286,7750,9442,11326,13459,16037,19011,22277,25804,29939,

%U 34692,39938,45455,51736,58848,66696,74836,83927,94114,105372,116992,129902,144223

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

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

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

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Sep 13 2021