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Number of compositions (ordered partitions) of n into at most 5 squarefree parts.
4

%I #6 Sep 13 2021 11:37:52

%S 1,1,2,4,7,14,26,45,71,105,151,214,291,379,473,593,744,919,1095,1301,

%T 1563,1884,2203,2536,2929,3427,3929,4433,4979,5692,6422,7158,7904,

%U 8863,9844,10830,11810,13078,14378,15706,17007,18718,20424,22165,23803,26025

%N Number of compositions (ordered partitions) of n into at most 5 squarefree parts.

%t Table[Length@Flatten[Permutations/@IntegerPartitions[n,5,Select[Range@n,SquareFreeQ]],1],{n,0,45}] (* _Giorgos Kalogeropoulos_, Sep 13 2021 *)

%Y Cf. A005117, A280194, A341065, A347777, A347778, A347779.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Sep 13 2021