Question about A096461

franktaw at netscape.net franktaw at netscape.net
Tue Jun 26 22:08:32 CEST 2007


It really shouldn't.

It is common, although incorrect, to regard the prime factorization of 
1 as 1.  See, for example, A027746.  But really, the prime 
factorization of 1 is the empty multiset, which sums to 0.

The description of A096461 should be changed to "Starting with a(1)=1 
and a(2)=2, ..."

Franklin T. Adams-Watters

-----Original Message-----
From: Neville Holmes <nholmes at leven.comp.utas.edu.au>

A096461, starting 1 2 4 8 14 23 ..., is described as
"Starting with a(1)=1, increment a(n) by the sum of
its prime factors."  I can see how it would work
with a(1)=2, but why and how does it start with 1 ?

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