OFFSET
1,1
COMMENTS
No terms are squarefree.
Also numbers whose first differences of 0-prepended prime indices have median 0.
EXAMPLE
The terms together with their prime indices begin:
8: {1,1,1}
16: {1,1,1,1}
27: {2,2,2}
32: {1,1,1,1,1}
48: {1,1,1,1,2}
64: {1,1,1,1,1,1}
72: {1,1,1,2,2}
80: {1,1,1,1,3}
81: {2,2,2,2}
96: {1,1,1,1,1,2}
108: {1,1,2,2,2}
112: {1,1,1,1,4}
125: {3,3,3}
For example, the prime indices of 720 are {1,1,1,1,2,2,3} with 4 adjacent equalities and 3 distinct parts, so 720 is in the sequence.
MATHEMATICA
Select[Range[100], PrimeOmega[#]>2*PrimeNu[#]&]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Feb 20 2023
STATUS
approved