A218993 - OEIS

A218993

Numerator of the least reduced fraction b/c > 1 using divisors b and c of n.

2, 3, 2, 5, 3, 7, 2, 3, 2, 11, 4, 13, 2, 5, 2, 17, 3, 19, 5, 7, 2, 23, 4, 5, 2, 3, 7, 29, 6, 31, 2, 3, 2, 7, 4, 37, 2, 3, 5, 41, 7, 43, 2, 5, 2, 47, 4, 7, 2, 3, 2, 53, 3, 11, 8, 3, 2, 59, 6, 61, 2, 9, 2, 13, 3, 67, 2, 3, 7, 71, 9, 73, 2, 5, 2, 11, 3, 79, 5, 3, 2

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OFFSET

2,1

COMMENTS

The product b*c divides n. Does every positive integer except one occur infinitely many times?

LINKS

Clark Kimberling, Table of n, a(n) for n = 2..10000

EXAMPLE

For n = 2,...,12, the fractions are 2/1, 3/1, 2/1, 5/1, 3/2, 7/1, 2/1, 3/1, 2/1, 11/1, 4/3, so that

A218993 = (2, 3, 2, 5, 3, 7, 2, 3, 2, 11, 4, ... );

A219093 = (1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, ... );

A219094 = (1, 1, 2, 1, 1, 1, 4, 3, 5, 1, 1, ... );