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Numbers k such that A113177(k) and A328845(k) are 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 09:10:00

%S 1,3,4,9,12,16,25,27,35,36,40,48,49,55,56,64,65,75,77,81,85,88,91,95,

%T 100,104,105,108,115,119,120,121,133,136,140,143,144,145,147,152,155,

%U 160,161,165,168,169,184,185,187,192,195,196,203,205,209,215,217,220,221,224,225,231,232,235,243,247,248,253,255,256

%N Numbers k such that A113177(k) and A328845(k) are both even, where A113177 is fully additive with a(p) = Fibonacci(p) and A328845 is the first Fibonacci-based variant of the arithmetic derivative.

%C A multiplicative semigroup: if m and n are in the sequence, then so is m*n.

%H Antti Karttunen, <a href="/A374108/b374108.txt">Table of n, a(n) for n = 1..12000</a>

%o (PARI) isA374108 = A374107;

%Y Cf. A113177, A328845, A374107 (characteristic function), A374109 (complement).

%Y Indices of even terms in A374106.

%Y Intersection of A373586 and A374046.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 29 2024