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A359794
Union of odd numbers and numbers with an odd 2-adic valuation.
5
1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94
OFFSET
1,2
COMMENTS
Numbers not of the form (2*m - 1)*4^k where m >= 1, k >= 1.
Numbers k for which the parities of k and A048675(k) differ.
The asymptotic density of this sequence is 5/6. - Amiram Eldar, Jan 25 2023
MATHEMATICA
Select[Range[100], OddQ[#] || OddQ[IntegerExponent[#, 2]] &] (* Amiram Eldar, Jan 25 2023 *)
PROG
(PARI) isA359794(n) = A359832(n);
CROSSREFS
Union of A005408 and A036554.
Complement of A108269.
Cf. A048675, A359832 (characteristic function).
Sequence in context: A213257 A367401 A039213 * A326947 A256450 A119605
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 25 2023
STATUS
approved