A379225 - OEIS

%I #10 Dec 20 2024 16:11:55

%S 0,1,2,2,0,3,3,3,4,1,4,4,3,4,2,4,2,0,1,2,0,0,2,0,0,4,1,0,4,3,4,0,1,3,

%T 3,1,2,2,0,3,1,1,2,1,4,3,3,1,1,1,4,0,3,2,4,1,3,0,1,4,1,0,2,1,3,2,3,4,

%U 4,4,4,2,3,3,2,3,2,1,1,4,3,2,2,2,2,3,1,2,4,0,1,4,1,4,1,2,2,2,3,2,1,0,2,1,0

%N a(n) = A113177(n) mod 5, where A113177 is fully additive with a(p) = Fibonacci(p).

%H Antti Karttunen, <a href="/A379225/b379225.txt">Table of n, a(n) for n = 1..81839</a>

%F a(n) = A010874(A113177(n)) = A010874(A374124(n)).

%o (PARI)

%o A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));

%o A379225(n) = (A113177(n)%5);

%Y Cf. A000045, A030426, A010874, A082116, A113177, A374208, A374124, A379226 (positions of 0's), A379227.

%Y Cf. also A379115.

%K nonn

%O 1,3

%A _Antti Karttunen_, Dec 20 2024