A361633 - OEIS

A361633

a(n) is the denominator of the median of the prime factors of n with repetition.

1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1

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

OFFSET

2,5

LINKS

Table of n, a(n) for n=2..89.

FORMULA

For p a prime, a(p^k) = 1.

a(n) = denominator((A079879(n) + A361725(n))/2).

EXAMPLE

a(12) = 1 since 12 = 2*2*3, and the median of the factors is equal to 2/1.

a(36) = 2 since 30 = 2*2*3*3, and the median of the factors is equal to 5/2.

MATHEMATICA