[seqfan] Re: Phil Scovis's problem

[Giovanni Resta]

On 03/06/2013 01:03 AM, israel at math.ubc.ca wrote:
> Also b(8) = 480 with S = {135,252,270,320,336,360,448,480}. The fact
> that {320,336,360,448,480} = 2*{160,168,180,224,240} = 4*{80,84,90,112,120}
> suggests a conjecture that b(n) = 15 * 2^(n-3) for n >= 6.
> I can also report that b(9) <= 960 with a possible S being
> {135,378,504,540,640,672,720,896,960}, though I haven't ruled out b(9) <
> 960.

I confirm b(9) = 960, with {504, 640, 672, 720, 756, 810, 896, 945, 960}
and also b(10) = 1920 with {1008, 1215, 1280, 1344, 1440, 1512, 1620, 
1792, 1890, 1920}.

Giovanni Resta