A239114 - OEIS

A239114

Exponent of 2 in prime factorization (i.e., 2-adic valuation) of odd nonprimes A014076(n) + 1.

1, 1, 4, 1, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 6, 1, 1, 2, 1, 1, 1, 3, 2, 1, 5, 2, 1, 4, 2, 1, 3, 1, 2, 1, 1, 1, 3, 1, 4, 1, 2, 1, 2, 5, 1, 1, 1, 2, 4, 1, 3, 1, 2, 1, 2, 1, 2, 1, 4, 1, 1, 3, 1, 2, 1, 1, 3, 2, 1, 2, 1, 3, 1, 1, 8, 2, 1, 1, 2, 1, 2, 3, 1, 5, 1, 2, 3, 1, 2, 1, 4, 1, 1, 2, 6, 1, 2, 1, 3, 1

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OFFSET

1,3

COMMENTS

Sequence is counterpart to A023512, i.e., merging these two sequences gives the ruler function A001511.

LINKS

K. G. Stier, Table of n, a(n) for n = 1..7739

FORMULA

a(n) = A001511((A014076(n)+1)/2)

EXAMPLE

a(13) = 3, because the 13th odd nonprime is 55, and the largest power of 2 dividing 55+1 is 3.

PROG