A359159 - OEIS

A359159

Numbers whose odd part is squarefree and the number of prime factors (with multiplicity) is odd.

2, 3, 5, 7, 8, 11, 12, 13, 17, 19, 20, 23, 28, 29, 30, 31, 32, 37, 41, 42, 43, 44, 47, 48, 52, 53, 59, 61, 66, 67, 68, 70, 71, 73, 76, 78, 79, 80, 83, 89, 92, 97, 101, 102, 103, 105, 107, 109, 110, 112, 113, 114, 116, 120, 124, 127, 128, 130, 131, 137, 138, 139, 148, 149, 151, 154, 157, 163, 164, 165

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The asymptotic density of this sequence is 4/Pi^2 (A185199). - Amiram Eldar, Jan 18 2023

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Range[200], OddQ[PrimeOmega[#]] && SquareFreeQ[#/2^IntegerExponent[#, 2]] &] (* Amiram Eldar, Jan 18 2023 *)

PROG

(PARI) isA359159(n) = A359158(n);

CROSSREFS