A347764 Number of compositions (ordered partitions) of n into at most 4 prime powers (including 1).

1, 1, 2, 4, 8, 15, 25, 40, 59, 81, 106, 136, 170, 208, 251, 294, 339, 383, 431, 476, 530, 583, 642, 696, 757, 804, 866, 914, 980, 1041, 1125, 1167, 1256, 1312, 1405, 1466, 1598, 1657, 1790, 1840, 1961, 2004, 2148, 2160, 2335, 2365, 2505, 2502, 2707, 2664, 2884

Offset: 0

Author

Ilya Gutkovskiy, Sep 12 2021

Keywords

• nonn

Crossrefs

Cf. A000961, A280543, A341133, A347762, A347763.

Programs

Mathematica

Table[Length@Flatten[Permutations/@IntegerPartitions[n,4,Join[{1},Select[Range@n,PrimePowerQ]]],1],{n,0,50}] (* Giorgos Kalogeropoulos, Sep 12 2021 *)