A369966 Numbers of the form 4m+2 that have an even number of prime factors with multiplicity.

6, 10, 14, 22, 26, 34, 38, 46, 54, 58, 62, 74, 82, 86, 90, 94, 106, 118, 122, 126, 134, 142, 146, 150, 158, 166, 178, 194, 198, 202, 206, 210, 214, 218, 226, 234, 250, 254, 262, 274, 278, 294, 298, 302, 306, 314, 326, 330, 334, 342, 346, 350, 358, 362, 382, 386, 390, 394, 398, 414, 422, 446, 454, 458, 462, 466

Offset: 1

Author

Antti Karttunen, Feb 08 2024

Keywords

• nonn

Comments

Numbers that have one even prime factor (2) and an odd number of odd prime factors with multiplicity.

Numbers that have an even number of prime factors with multiplicity and whose arithmetic derivative (A003415) is odd.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A016825 and A028260.

Intersection of A028260 and A235991.

Cf. A003415, A067019, A369668 (subsequence), A369965 (characteristic function).

Cf. A369661 (numbers whose arithmetic derivative is in this sequence).

Programs

PARI

\\ See A369965

Formula

a(n) = 2*A067019(n).