Midlevels Conjecture

[Frank Ellermann]

Edwin Clark wrote:

> I got  b(2) = 24.
[...]
> So all I can say is b(3) >=10382.

Based on the "all interesting sequences are already listed"
theory looking for ".S A...... 1.24" might help (sequences
starting with 1,24 ignoring 1024 etc.).  Two candidates:

<http://www.research.att.com/projects/OEIS?Anum=A062322>
<http://www.research.att.com/projects/OEIS?Anum=A061527>

The same trick for ".S A...... 2.48" finds no sequence with
a(3) > 20763.  Dito 0,2,48 and 0,1.24.  For 1,2,48 I found:

<http://www.research.att.com/projects/OEIS?Anum=A007861>

For 1,1,24 (<= ".S A...... 1.1.24") another candidate is:

<http://www.research.att.com/projects/OEIS?Anum=A088020>

            Bye, Frank