A374206 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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