A097320 error & a new related sequence

[Leroy Quet]

In the example-line of sequence A097320 it says that 60 is in the 
sequence.
But 60 is not among the terms given.
Since 60 contains 2 primes which divide it only once each, then the error 
must be with the example line, since it seems that the author meant the 
the exponents are strickly decreasing when read from left to right in the 
prime factorizations of the terms of the sequence.

Maybe someone could calculate and submit the related sequence where n is 
included if *at least one* exponent, when being read from left to right 
(raising the lowest prime to raising the highest prime) in the prime 
factorization of n, is less than the previous exponent.
For example, 90 is included in this new sequence because 90 = 2^1 * 3^2 * 
5^1, and the exponent 2 is greater than the exponent 1 raising the 5.

thanks,
Leroy Quet