OFFSET
0,7
COMMENTS
A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
EXAMPLE
The a(2) = 1 through a(17) = 15 strict integer partitions (A...H = 10...17):
2 3 4 5 6 7 8 9 A B C D E F G H
42 43 62 54 64 65 75 76 86 87 97 98
52 63 73 83 84 85 95 96 A6 A7
72 82 542 93 94 A4 A5 C4 B6
A2 A3 B3 B4 D3 C5
642 B2 C2 C3 E2 D4
643 752 D2 763 E3
652 842 654 862 F2
762 943 854
843 A42 863
852 872
A43
A52
B42
6542
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&!MemberQ[#, 1]&&!MemberQ[#, k_/; SubsetQ[#, PrimePi/@First/@FactorInteger[k]]]&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Mar 15 2019
STATUS
approved