A374203 The 3-adic valuation of A328845(n), where A328845 is a Fibonacci-based variant of the arithmetic derivative.

0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 4

Offset

2,21

Links

Antti Karttunen, Table of n, a(n) for n = 2..100000

Formula

a(n) = A007949(A328845(n)).

Prog

(PARI)
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]));
A374203(n) = valuation(A328845(n), 3);

Crossrefs

Cf. A007949, A328845, A374121, A374122 (after its 2 initial terms, gives the indices of nonzero terms in this sequence).

Cf. also A374133, A374213, A374202, A374205.

Sequence in context: A320179 A035656 A325675 * A279948 A264009 A281155

Adjacent sequences: A374200 A374201 A374202 * A374204 A374205 A374206

Keyword

nonn

Author

Antti Karttunen, Jul 01 2024

Status

approved