A369966 - OEIS

%I #10 Feb 08 2024 16:13:44

%S 6,10,14,22,26,34,38,46,54,58,62,74,82,86,90,94,106,118,122,126,134,

%T 142,146,150,158,166,178,194,198,202,206,210,214,218,226,234,250,254,

%U 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

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

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

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

%H Antti Karttunen, <a href="/A369966/b369966.txt">Table of n, a(n) for n = 1..10000</a>

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

%o (PARI) \\ See A369965

%Y Intersection of A016825 and A028260.

%Y Intersection of A028260 and A235991.

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

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

%K nonn

%O 1,1

%A _Antti Karttunen_, Feb 08 2024