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A374037 Numbers k such that A328845(k) and A328846(k) are both even, where A328845 and A328846 are the first and second Fibonacci-based variants of the arithmetic derivative.

%I A374037 #6 Jun 28 2024 14:00:21
%S A374037 0,1,4,8,9,12,16,20,24,25,28,32,36,40,44,48,49,52,55,56,60,64,65,68,
%T A374037 72,76,80,81,84,88,92,95,96,100,104,105,108,112,115,116,119,120,121,
%U A374037 124,128,132,136,140,143,144,148,152,155,156,160,164,168,169,172,176,180,184,185,188,192,196,200,203,204,208,209
%N A374037 Numbers k such that A328845(k) and A328846(k) are both even, where A328845 and A328846 are the first and second Fibonacci-based variants of the arithmetic derivative.
%C A374037 A multiplicative semigroup: if m and n are in the sequence, then so is m*n.
%H A374037 Antti Karttunen, <a href="/A374037/b374037.txt">Table of n, a(n) for n = 1..12000</a>
%H A374037 <a href="/index/Pri#prime_indices">Index entries for sequences related to prime indices in the factorization of n</a>
%o A374037 (PARI) isA374037 = A374036;
%Y A374037 Intersection of A374046 and A374049.
%Y A374037 Cf. A328845, A328846, A374036 (characteristic function), A374038 (complement).
%K A374037 nonn
%O A374037 1,3
%A A374037 _Antti Karttunen_, Jun 28 2024