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A359157
Numbers whose odd part is squarefree and the number of prime factors (with multiplicity) is even.
4
1, 4, 6, 10, 14, 15, 16, 21, 22, 24, 26, 33, 34, 35, 38, 39, 40, 46, 51, 55, 56, 57, 58, 60, 62, 64, 65, 69, 74, 77, 82, 84, 85, 86, 87, 88, 91, 93, 94, 95, 96, 104, 106, 111, 115, 118, 119, 122, 123, 129, 132, 133, 134, 136, 140, 141, 142, 143, 145, 146, 152, 155, 156, 158, 159, 160, 161, 166, 177
OFFSET
1,2
COMMENTS
Numbers k such that A355689(k) > 0, where A355689 is the Dirichlet inverse of A166486, characteristic function of numbers that are not multiples of 4.
The asymptotic density of this sequence is 4/Pi^2 (A185199). - Amiram Eldar, Jan 18 2023
LINKS
MATHEMATICA
Select[Range[200], EvenQ[PrimeOmega[#]] && SquareFreeQ[#/2^IntegerExponent[#, 2]] &] (* Amiram Eldar, Jan 18 2023 *)
PROG
(PARI) isA359157(n) = A359156(n);
CROSSREFS
Intersection of A028260 and A122132.
Setwise difference A122132 \ A359159.
Positions of positive terms in A355689.
Cf. A166486, A185199, A359156 (characteristic function).
Sequence in context: A144592 A268185 A065073 * A084997 A300912 A175706
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 20 2022
STATUS
approved