[seqfan] Re: b-file puzzle

David Wilson davidwwilson at comcast.net
Fri Jan 1 00:43:11 CET 2016


Indeed.  Perhaps someone else will figure it out as well.

> -----Original Message-----
> From: maximilian at hasler.fr [mailto:maximilian at hasler.fr] On Behalf Of M. F.
> Hasler
> Sent: Thursday, December 31, 2015 7:17 AM
> To: David Wilson
> Subject: Re: [seqfan] b-file puzzle
> 
> On Tue, Dec 29, 2015 at 6:56 PM, David Wilson <davidwwilson at comcast.net>
> wrote:
> > Hint: product
> 
> ah ok, now I see: a(21)=6.
> 
> Maximilian
> 
> >
> >
> > From: maximilian at hasler.fr [mailto:maximilian at hasler.fr] On Behalf Of M.
> F.
> > Hasler
> > Sent: Tuesday, December 29, 2015 11:04 AM
> > To: David Wilson
> > Subject: Re: [seqfan] b-file puzzle
> >
> >
> >
> > Given that a(19..20) = a(1..2) the most simple and thus natural
> > assumption is that a(n) = a(n-18) for n>18,
> >
> > which preserves the properties given earlier:
> >
> > a(3n-2) = 0,
> > a(3n-1) = 3b(n)-1,
> > a(3n) = 3c(n),
> >
> > where b = (2905, 84, 29, 3070, 309, 3212, 2905, ...)
> >
> > and c = (17, 7, 117, 28691, 31, 2004, ...)
> >
> >
> >
> > M.
> >
> > PS: one can of course also observe some relations involving the digits:
> >
> > 8-7=1, 7=14 / 2, 2.51 = 251,  2[5]1 => 21, ...
> >
> >
> >
> > On Mon, Dec 28, 2015 at 10:40 PM, David Wilson
> > <davidwwilson at comcast.net>
> > wrote:
> >
> > How to extend this b-file?
> >
> > 1 0
> > 2 8714
> > 3 51
> > 4 0
> > 5 251
> > 6 21
> > 7 0
> > 8 86
> > 9 351
> > 10 0
> > 11 9209
> > 12 86073
> > 13 0
> > 14 926
> > 15 93
> > 16 0
> > 17 9635
> > 18 6012
> > 19 0
> > 20 8714




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