[seqfan] Re: A076884

Ed Jeffery lejeffery2 at gmail.com
Mon Oct 15 22:39:23 CEST 2012


Correct. However, if the title is changed to "Let u(0) = 0, u(n) =
Pi*floor(u(n-1), then a(n) = u(n)/Pi - 1," then the correct sequence is
generated, except for the first term which should obviously be changed to
a(1) = 0.

What is wrong with just having the formula

a(n) = floor(c*Pi^n), etc.,

for the title, and what is the point of setting a(1) = 1 instead of = 0?

LEJ

>It seems to me that according to the definition, a(2) should be 3, not 2:
>u(0) = 1
>u(1) = Pi*floor(u(0)) = Pi,        a(1) = 1
>u(2) = Pi*floor(u(1)) = 3*Pi,      a(2) = 3
>u(3) = Pi*floor(u(2)) = 9*Pi,      a(3) = 9

>Robert Israel
>University of British Columbia



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