Near Integers

[Max A.]

On 1/4/07, N. J. A. Sloane <njas at research.att.com> wrote:

> Also, just to make things more difficult, Artur submitted several pairs
> of sequences with the same A-numbers, for example:
> %I A127030
> %S A127030 0, 1, 2, 4, 5, 7, 9, 11, 13, 15, 18, 20, 22
> %N A127030 Maximal value of power m such that 3^m divided n! (3^m < n!)

I think the name of this and other similar sequences (A127032,
A127033, A127034, A127035, A127036, A127037, A127039) is confusing. It
has nothing to do with the division (but rather with taking a
logarithm), and it should be renamed to
"Maximal value of power m such that 3^m < n!"
with a formula
a(n) = floor( log(n!) / log(3) ).

Max