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A374125 a(n) = A328845(n) mod 360, where A328845 is the first Fibonacci-based variant of the arithmetic derivative. 4

%I #6 Jun 30 2024 09:15:43

%S 0,0,1,2,4,5,7,13,12,12,15,89,20,233,33,25,32,157,33,221,40,53,189,

%T 217,52,50,119,54,80,149,65,229,80,289,331,100,84,17,101,5,100,301,

%U 127,77,40,105,97,73,128,182,125,145,264,293,135,140,188,341,327,161,160,161,129,201,192,150,251,293,336,337,235,289

%N a(n) = A328845(n) mod 360, where A328845 is the first Fibonacci-based variant of the arithmetic derivative.

%H Antti Karttunen, <a href="/A374125/b374125.txt">Table of n, a(n) for n = 0..16384</a>

%o (PARI)

%o A328845(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]*fibonacci(f[i,1])/f[i, 1]));

%o A374125(n) = (A328845(n)%360);

%Y Cf. A000045, A328845.

%Y Cf. A374045 (antiparity of terms), A374046 (indices of even terms), A374047 (of odd terms), A374122 (of multiples of 3).

%Y Cf. also A372576, A374123, A374124.

%K nonn

%O 0,4

%A _Antti Karttunen_, Jun 30 2024

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Last modified August 22 07:59 EDT 2024. Contains 375356 sequences. (Running on oeis4.)