[seqfan] Re: wanted: solution to a recurrence

Alexander P-sky apovolot at gmail.com
Thu Oct 21 19:26:25 CEST 2010


Plugging the solution into WolframAlpha gives

Repeating block:
1, 3, 3 (3 elements; 3 repetitions)

Possible closed form:
a_n = Mod[2 n^2+2 n, 3, 1] (for all terms given)
Possible continuation:
1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,...
Possible recurrence relation:
a_(n+3) = a_n
Possible generating function:
(script capital g)_n(a_n)(z) = (-3 z^2-3 z-1)/(z^3-1)

AP

On 10/21/10, N. J. A. Sloane <njas at research.att.com> wrote:
> PS As sson as I posted that message, I found a solution:
> 1 3 3 1 3 3 1 3 3 ...
> Neil
>
>
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