[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

is something known about this sequence?

i found possible doubling formulas for this so it seems efficiently

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.



More information about the SeqFan mailing list