cp's OEIS Frontend

A373376 Numbers k such that gcd(A001414(k), A003415(k)) is odd, where A001414 is the sum of prime factors with repetition, and A003415 is the arithmetic derivative.

%I A373376 #6 Jun 03 2024 15:40:22
%S A373376 2,3,5,6,7,10,11,12,13,14,17,18,19,20,22,23,24,26,27,28,29,30,31,34,
%T A373376 37,38,40,41,42,43,44,45,46,47,48,50,52,53,54,56,58,59,61,62,63,66,67,
%U A373376 68,70,71,73,74,75,76,78,79,80,82,83,86,88,89,90,92,94,96,97,98,99,101,102,103,104,105,106,107,108,109
%N A373376 Numbers k such that gcd(A001414(k), A003415(k)) is odd, where A001414 is the sum of prime factors with repetition, and A003415 is the arithmetic derivative.
%C A373376 Numbers k such that sopfr(k) and k' are not both even.
%H A373376 Antti Karttunen, <a href="/A373376/b373376.txt">Table of n, a(n) for n = 1..10000</a>
%o A373376 (PARI) isA373376(n) = !A373374(n);
%Y A373376 Positions of odd terms in A373364, positions of 0's in A373374.
%Y A373376 Complement of A373375.
%Y A373376 Cf. A001414, A003415.
%K A373376 nonn
%O A373376 1,1
%A A373376 _Antti Karttunen_, Jun 03 2024