E. Camouzis et al., THE RATIONAL RECURSIVE SEQUENCE XN-X-N(2))(1=(BETA)(U+X-N-1(2))/, Computers & mathematics with applications, 28(1-3), 1994, pp. 37-43
We investigate the behavior of solutions of the equation in the title
under the hypotheses that beta is a positive constant and the initial
conditions x-1 and x0 are arbitrary positive numbers.