Is A064554 multiplicative?

Mitch Harris Harris.Mitchell at mgh.harvard.edu
Mon Jun 5 22:05:33 CEST 2006


From: franktaw at netscape.net [mailto:franktaw at netscape.net]
Sent: Monday, June 05, 2006 1:59 PM
> 
> There is a comment in A064554 claiming that it is not multiplicative, 
> but the examples given show only that it is not totally 
> multiplicative. 
>   I think in fact it is multiplicative, but I have not been able to 
> determine this for certain.

a(11*13) = a(143) = 821, but a(11) = 29, a(13) = 37, and a(11)*a(13) =
1073, and n = 143 is the smallest counter example.

(this was found by Christian G. Bower, last year May 19, 2005. and
unfortunately somehow did not make it into the comments that were sent
in at that time. it has been resent)

Mitch






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