A347776 Number of compositions (ordered partitions) of n into at most 6 prime powers (including 1).

1, 1, 2, 4, 8, 16, 31, 61, 115, 207, 353, 572, 882, 1305, 1863, 2581, 3491, 4615, 5974, 7583, 9462, 11616, 14070, 16844, 19965, 23436, 27289, 31502, 36104, 41074, 46462, 52244, 58534, 65230, 72458, 80118, 88352, 97011, 106448, 116393, 127189, 138532, 150819, 163473

Offset: 0

Author

Ilya Gutkovskiy, Sep 13 2021

Keywords

• nonn

Crossrefs

Cf. A000961, A280543, A341135, A347762, A347763, A347764, A347775.

Programs

Mathematica

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