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 A189486 Define a sequence of fractions by f(0)=f(1)=1, thereafter f(n)=(4+f(n-1))/(1+f(n-2)); sequence gives denominators. 1
 1, 1, 2, 4, 14, 7, 43, 731, 2023, 293573, 16486961, 5626477847, 38535553135033, 776247953589619099, 2069276059395278540341403, 288477890749068052847537054483767, 14233818196730866565020787814994280535215309, 5106374385967496893562303709860513496951269918036531477033 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES Emilie Ann Hogan, Experimental Mathematics Applied to the Study of Nonlinear Recurrences, Ph. D. Dissertation, Math. Dept., Rutgers University, May 2011. See Theorem 2.4.1. LINKS EXAMPLE 1, 1, 5/2, 13/4, 29/14, 10/7, 76/43, 1736/731, 4660/2023, 548336/293573, ... MAPLE f:=proc(n) option remember; if n <= 1 then 1; else (4+f(n-1))/(1+f(n-2)); fi; end; CROSSREFS Cf. A189485. Sequence in context: A056678 A218655 A193232 * A131758 A095909 A151872 Adjacent sequences:  A189483 A189484 A189485 * A189487 A189488 A189489 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Apr 23 2011 STATUS approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)