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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

Table of n, a(n) for n=0..17.

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: A218655 A325117 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 July 9 16:50 EDT 2020. Contains 335545 sequences. (Running on oeis4.)