[seqfan] Re: All the metal mean sequence primes.

[Neil Sloane]

Dan's sequence seems not to have made it into the OEIS, so I have added it:
see A227829.
Hans, could you add the further terms you found?
Dan, could you replace "DAN CYN J" in the entry with your real name?
Thanks
Neil


On Sun, Jul 21, 2013 at 11:42 PM, Hans Havermann <gladhobo at teksavvy.com>wrote:

> Dan has explained to me that he meant the sequences:
>
> 2, 3, 5, ..
> 5, 12, 29, ..
> 10, 33, 109, ..
> 17, 72, 305, ..
> etc.
>
> a(n) = m*a(n-1) + a(n-2), where a(1) = 1, a(2) = positive integer m, and
> n>2.
>
> I confirmed his prime collection and added a few more terms.
>
>
> I had written:
>
> > On Jul 19, 2013, at 10:35 PM, DAN_CYN_J <dan_cyn_j at comcast.net> wrote:
> >
> >> Where the first term generator = (1) for each sequence.
> >> Then the second term generator integer = (1,2,3,4,5,6,7...in order for
> each sequence.)
> >>
> >> All primes that appear in these sequence's after the second term
> >> up to 1601 are listed below.
> >>
> >>
> 2,3,5,13,17,29,37,89,101,109,197,233,257,401,577,677,701,1297,1597,1601--->oo.
> >
> >
> > It isn't at all clear to me what you are enumerating here but my
> impression is that you are combining all primes found in:
> >
> > 2, 3, 5, ..
> > 3, 5, 8, ..
> > 4, 7, 11, ..
> > 5, 9, 14, ..
> > etc.
> >
> > But that can't be right because *all* primes appear.
>
>
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