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Numbers k such that A113177(k) and A328845(k) are not both even, where A113177 is fully additive with a(p) = Fibonacci(p) and A328845 is the first Fibonacci-based variant of the arithmetic derivative.
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%I #6 Jun 29 2024 09:10:04

%S 2,5,6,7,8,10,11,13,14,15,17,18,19,20,21,22,23,24,26,28,29,30,31,32,

%T 33,34,37,38,39,41,42,43,44,45,46,47,50,51,52,53,54,57,58,59,60,61,62,

%U 63,66,67,68,69,70,71,72,73,74,76,78,79,80,82,83,84,86,87,89,90,92,93,94,96,97,98,99,101,102,103,106

%N Numbers k such that A113177(k) and A328845(k) are not both even, where A113177 is fully additive with a(p) = Fibonacci(p) and A328845 is the first Fibonacci-based variant of the arithmetic derivative.

%H Antti Karttunen, <a href="/A374109/b374109.txt">Table of n, a(n) for n = 1..12000</a>

%o (PARI) isA374109(n) = !A374107(n);

%Y Cf. A113177, A328845, A374107, A374108 (complement).

%Y Indices of odd terms in A374106.

%Y Union of A373587 and A374047.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jun 29 2024