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A064932 Period length of the continued fraction for sqrt(3^(2n+1)). 4
2, 10, 30, 98, 270, 818, 2382, 7282, 21818, 65650, 196406, 589982, 1768938, 5309294, 15924930, 47779238, 143322850, 429998586, 1289970842 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Lim_{n->inf} a(n)/3^n = 1.11... - A.H.M. Smeets, Oct 25 2017

REFERENCES

R. K. Guy, personal communication.

LINKS

Table of n, a(n) for n=1..19.

MATHEMATICA

Table[Length[Last[ContinuedFraction[Sqrt[3^(2n+1)] ]]], {n, 10}]

CROSSREFS

Cf. A003285, A059927.

Sequence in context: A234471 A196317 A318579 * A285956 A219667 A192381

Adjacent sequences:  A064929 A064930 A064931 * A064933 A064934 A064935

KEYWORD

hard,nonn,more

AUTHOR

Wouter Meeussen, Oct 26 2001

EXTENSIONS

a(11)-a(13) from A.H.M. Smeets, Sep 28 2017

a(14) from A.H.M. Smeets, Oct 08 2017

a(15)-a(19) from Daniel Suteu, Jan 24 2019

STATUS

approved

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Last modified April 23 02:43 EDT 2019. Contains 322380 sequences. (Running on oeis4.)