OFFSET
1,1
COMMENTS
The enumeration of these partitions by sum is given by A001399.
The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
EXAMPLE
The sequence of terms together with their prime indices begins:
110: {1,3,5}
170: {1,3,7}
230: {1,3,9}
310: {1,3,11}
374: {1,5,7}
410: {1,3,13}
470: {1,3,15}
506: {1,5,9}
590: {1,3,17}
670: {1,3,19}
682: {1,5,11}
730: {1,3,21}
782: {1,7,9}
830: {1,3,23}
902: {1,5,13}
935: {3,5,7}
970: {1,3,25}
1030: {1,3,27}
1034: {1,5,15}
1054: {1,7,11}
MATHEMATICA
Select[Range[1000], SquareFreeQ[#]&&PrimeNu[#]==3&&OddQ[Times@@PrimePi/@First/@FactorInteger[#]]&]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Apr 13 2019
STATUS
approved