A379225 a(n) = A113177(n) mod 5, where A113177 is fully additive with a(p) = Fibonacci(p).

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, 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, 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

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..81839

Formula

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

Prog

(PARI)
A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));
A379225(n) = (A113177(n)%5);

Crossrefs

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

Cf. also A379115.

Sequence in context: A295675 A135356 A259016 * A216504 A216673 A363532

Adjacent sequences: A379217 A379218 A379219 * A379226 A379227 A379240

Keyword

nonn,new

Author

Antti Karttunen, Dec 20 2024

Status

approved