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A064932
Period 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, 3869957114, 11609762666, 34829416842, 104488103446
OFFSET
1,1
COMMENTS
Limit_{n->oo} a(n)/3^n = 1.11... - A.H.M. Smeets, Oct 25 2017
REFERENCES
R. K. Guy, personal communication.
FORMULA
a(n) = A003285(A013708(n)). - Michel Marcus, Sep 25 2019
MATHEMATICA
Table[Length[Last[ContinuedFraction[Sqrt[3^(2n+1)] ]]], {n, 10}]
CROSSREFS
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
a(20) from Chai Wah Wu, Sep 23 2019
a(21)-a(23) from Chai Wah Wu, Sep 25 2019
STATUS
approved