MathDB

A sequence

a_1, a_2,\dots, a_n

of positive integers is alagoana, if for every

n

positive integer, one have these two conditions I-

a_{n!} = a_1\cdot a_2\cdot a_3\cdots a_n

II- The number

a_n

is the

n

-power of a positive integer. Find all the sequence(s) alagoana.

Problem Statement