
COMMENTS

Can it be shown that this is always an increasing sequence?
{a(n)} is an increasing sequence because {a(n)} is a subsequence of the integer sequence {b(n)} = (fractional part of (3/2)^n without the decimal point)/5^n = A204544(n) / 5^n = prime terms of A002380.  Michel Lagneau, Jan 25 2012
Corresponding n: 3, 5, 7, 9, 11, 20, 28, 62, 161, 204, 471, 505, 881, 1810, 1812, 2506, 3321, ...  Eric Chen, Jun 13 2018
