# [seqfan] rational sequence $$f_n= (\frac{n}{f_{n-1}}+1)(n+1) \; , f_0 = 1$$

Georgi Guninski guninski at guninski.com
Thu Mar 26 13:57:18 CET 2009

rational sequence:
$$f_n= (\frac{n}{f_{n-1}}+1)(n+1) \; , f_0 = 1$$

f[n]= (n / f[n-1]+1)*(n+1) , f[0]=1

i found possible doubling formulas for this so it seems efficiently
computable.

1. period mod p is uninteresting to me
2. i suspect it may be a combination of exponential and rational
functions, though Fricas (a fork of Axiom) can't find such.
3. can't find relations for the numerators or denominators and OEIS
returns nil.

thanks.

--
georgi