[seqfan] Re: Wavy Simple Recursion Involving Minimum

[Leroy Quet]

Thanks for the replies. It is so obvious now. (I didn't notice that terms 15 through 17 equaled 3 times terms 0 through 2.)

Thanks,
Leroy Quet



[ ( [ ([( [ ( ([[o0Oo0Ooo0Oo(0)oO0ooO0oO0o]]) ) ] )]) ] ) ]


--- On Wed, 7/29/09, Dion Gijswijt <d.c.gijswijt1 at uva.nl> wrote:

> From: Dion Gijswijt <d.c.gijswijt1 at uva.nl>
> Subject: [seqfan] Re: Wavy Simple Recursion Involving Minimum
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Cc: seqfan at seqfan.eu
> Date: Wednesday, July 29, 2009, 12:23 PM
> Because of the terms 0,1,2...,0,3,6,
> it is clear that a(n+15)=3a(n) for all n, which gives a
> closed form
> expression depending on n mod 15, right?
> 
> Dion.
> 
> 
> On Wed, Jul 29, 2009 at 1:13 PM, Leroy Quet <q1qq2qqq3qqqq at yahoo.com>
> wrote:
> 
> >
> > I just posted this:
> >
> > %I A163495
> > %S A163495 0,1,2,2,1,1,2,1,1,3,4,3,0,3,3,0,3,6,6,3
> > %V A163495
> 0,1,2,2,1,-1,-2,-1,1,3,4,3,0,-3,-3,0,3,6,6,3
> > %N A163495 a(0)=0, a(1)=1, a(2)=2. For n>=3, a(n) =
> a(n-1) -
> > min(a(n-2),a(n-3)).
> > %K A163495 more,sign
> > %O A163495 0,3
> >
> > Is there a closed (non-recursive) form for this
> sequence? (Maybe the closed
> > form is involving, say, sine and the floor function.
> Or maybe the closed
> > form is much simpler, maybe involving mod, say.)
> >
> > (And hopefully I didn't make a mistake figuring out
> the terms I submitted.)
> >
> > Thanks,
> > Leroy Quet
> >
> > [ ( [ ([( [ ( ([[o0Oo0Ooo0Oo(0)oO0ooO0oO0o]]) ) ] )])
> ] ) ]
> >
> >
> >
> >
> >
> > _______________________________________________
> >
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> >
> 
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