OFFSET
0,3
COMMENTS
Such a partition must be strict (unless it is all 1's) and its parts must also be squarefree.
LINKS
Lucas A. Brown, Table of n, a(n) for n = 0..133
Lucas A. Brown, Python program.
EXAMPLE
The a(30) = 8 integer partitions:
(30),
(17,13),(19,11),(23,7),
(17,11,2),(23,5,2),
(13,7,5,3,2),
(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1).
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], And[SameQ@@PrimeOmega/@#, SquareFreeQ[Times@@#]]&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Dec 14 2018
EXTENSIONS
a(51)-a(69) from Jinyuan Wang, Jun 27 2020
a(70) onwards from Lucas A. Brown, Aug 17 2024
STATUS
approved