[seqfan] Re: Sister sequences

[Neil Sloane]

Veikko, can you send me a plot (jpeg, pdf, whatever) of the 2000000
terms, so I can include it in that entry?

By the way, the definitive treatment of this kind of
problem is in Feller, Probability, Volume I, Section III. He is discussing
coin-tossing,
but that is the same kind of problem. As he says, the results are totally
contrary to ones intuition. "We reach conclusions that play havoc with our
intuition" is how he puts it. A lovely book, a desert island book.

Neil


On Fri, Nov 22, 2013 at 12:03 PM, Veikko Pohjola <veikko at nordem.fi> wrote:

> Yes, the plot for the terms given is dull rather than remarkable. My
> intention was to invite somebody interested to go a bit further. The first
> 400 or so terms would make one expect a steady growth but at n=425, the
> curve, at value 590868, starts a dive to make a short visit below zero at
> n=941 and then starts to grow again. This time it stays positive positive
> up to about n=13000 and then dives really deep to the negative, and that
> trend continues far beyond n=200000, which is the largest that I checked.
> Veikko
>
>
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Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
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