[seqfan] Re: Coins puzzle and a sequence

[Tanya Khovanova]

Cool!

Would someone like to submit it:
0,1,2,2,2,2,3,3,3,3,3

--- On Thu, 7/2/09, Max Alekseyev <maxale at gmail.com> wrote:

> From: Max Alekseyev <maxale at gmail.com>
> Subject: Re: [seqfan] Coins puzzle and a sequence
> To: mathoflove-seqfan at yahoo.com
> Cc: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Thursday, July 2, 2009, 11:57 PM
> On Thu, Jul 2, 2009 at 11:41 PM,
> Tanya
> Khovanova<mathoflove-seqfan at yahoo.com>
> wrote:
> >
> > Yep,
> >
> > Can you prove that for 7, 8, and 9 we need 3? (see my
> essay)
> 
> Exhaustive search tells that each a(7), a(8), a(9) >=
> 3.
> 
> btw, for 6 coins there is no "etc." below - there exist
> exactly two
> essentially different solutions with two weightings:
> 
> >> For example:
> >>
> >> 6=1+2+3 and 1+6<3+5
> >>
> >> 3+6>1+2+5 and 1+3<5
> >>
> >> etc.
> 
> Regards,
> Max
>