A374206 The 2-adic valuation of A113177(n), where A113177 is fully additive with a(p) = Fibonacci(p).

0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 3, 0, 0, 0, 1, 1, 1, 0, 1, 0, 3, 0, 4, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 3, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 6, 0, 2, 2, 1, 0, 3

Offset

2,8

Links

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

Formula

a(n) = A007814(A113177(n)).

Prog

(PARI)
A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));
A374206(n) = valuation(A113177(n), 2);

Crossrefs

Cf. A007814, A113177, A373586 (gives the indices of nonzero terms here, after its initial 1), A373587 (gives the indices of 0's).

Cf. also A374132, A374212, A374202, A374207, A374208.

Sequence in context: A033768 A033786 A373147 * A366768 A137696 A275731

Adjacent sequences: A374203 A374204 A374205 * A374207 A374208 A374209

Keyword

nonn

Author

Antti Karttunen, Jul 01 2024

Status

approved