[seqfan] Re: A potentially new sequence based on a simple game

[Andrew Plewe]

Thank you for this; I will double-check those values but I believe  
they're correct. I probably miscounted (because I was counting by  
hand) on a(9).

	-Andrew Plewe-

>
> Hi Andrew,
>
> It would be nice if there was a _simple_ pattern, but I can't find  
> one.
> Using a brute-force backtracking method [1] I get the following  
> start of this
> sequence:
>
> 0,0,0,0,5,6,13,15,24,27,38,42,55,69,75,91,108,116,135,155,176,187,210,222,247 
> ...
>
> which differs at a(9)=24 from your value 22 (maybe a typo?). This  
> value is
> reached when you take {7, 11, 15} out of A_9 ={3,5,...,19}.
>
> Peter.
>
> [1] http://home.arcor.de/petsie/seqfans/AndrewsGame.nb (Mathematica  
> notebook)
> and http://home.arcor.de/petsie/seqfans/AndrewsGame.pdf (the same as  
> pdf )