[seqfan] Re: question on a recursively defined sequence

Jonathan Post jvospost3 at gmail.com
Mon Feb 23 00:44:10 CET 2009


It's on that page thus:

Closed form of a recursive series

Is there a closed form with a fixed number of terms for the sequence
defined by t0 = 1 and tn = tn - 1 + 2tn - 1? In case anyone's
wondering, it originates here. NeonMerlin 08:11, 22 February 2009
(UTC)

    I doubt there's anything useful. There's nothing in the Sloane's
entry. Algebraist 09:40, 22 February 2009 (UTC)

On Sun, Feb 22, 2009 at 3:34 PM, Brendan McKay <bdm at cs.anu.edu.au> wrote:
> At the Mathematics Reference Desk of Wikipedia
>   http://en.wikipedia.org/wiki/Wikipedia:Reference_desk/Mathematics
> someone is asking for a closed form for t[n] where
>  t[0] = 1, t[n] = t[n-1] + 2^(t[n-1]).
> It looks unlikely to me.  Does anyone disagree?
>
> Brendan.
>
>
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