generalizing A129935

[N. J. A. Sloane]

No, these are not dumb questions at all.  I wish I had answers as good.

The best I can say is to (1) get as much data as possible, and (2) use 
your best judgment.

One can't expect that every conjecture will turn out to be correct.  I 
try for at least a 90% (subjective) confidence level.

Franklin T. Adams-Watters

-----Original Message-----
From: Jon Schoenfield <jonscho at hiwaay.net>

This got me thinking about a broader question:  How do you decide 
whether
some observed behavior of a deterministic sequence -- some perceived
pattern -- seems sufficiently significant that you think it's worth 
offering
a conjecture to your colleagues about that behavior?  Do you apply some 
sort
of statistical test(s)?  Is it more a matter of what some might call a 
"gut
feeling," based partly on what you know about the sequence thus far, 
and
partly on prior experiences with a variety of sequences?  And does any
confidence you might place in "gut feelings" about sequences in general 
tend
to get shaken when something very surprising turns up regarding some 
other
problem, e.g., the discovery of "Numbers n such that ceiling(
2/(2^{1/n}-1) ) is not equal to floor( 2n/(log 2) )" (i.e., terms in
A129935)?

... My apologies if these are obviously dumb newbie questions!  ?:-|

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