[seqfan] Re: A001055 Number of ways of factoring n with all factors>1

David Wilson davidwwilson at comcast.net
Sun Mar 1 06:52:15 CET 2009


A001055(n) is the number of ways to factor n into integer factors > 1 up to 
order.

This is consistent with a(1) = 1, since 1 has a single factorization into 
integers > 1, namely, the empty product, whose value is by defintion the 
multiplicative identity 1.


----- Original Message ----- 
From: "N. J. A. Sloane" <njas at research.att.com>
To: <seqfan at list.seqfan.eu>; <seqfan at seqfan.eu>
Cc: <njas at research.att.com>
Sent: Saturday, February 28, 2009 3:02 PM
Subject: [seqfan] Re: A001055 Number of ways of factoring n with all 
factors>1


> Dear Maximilian,   the INTENT of this sequence,
> and the way it is described in the 1973 and 1995 books,
> is Number of ways of factoring n.
>
> The phrase "with all factors >1" was added later.
>
> That phrase needs to be modified, and I will do so.
>
> But a(1) = 1 is what I wanted, and that doesn't need changing!
>
>
> Best regards
>  Neil
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/


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