A293028 Period of the continued fraction for sqrt(5^(2n+1)).

1, 5, 31, 153, 745, 3779, 19011, 95121, 475251, 2375759, 11880177, 59406541, 297033919, 1485165459, 7425797777, 37129022423

Offset: 0

Author

A.H.M. Smeets, Sep 28 2017

Keywords

• nonn
• more

Crossrefs

Cf. A003285, A013710, A064932.

Programs

Mathematica

Table[Length[Last[ContinuedFraction[Sqrt[5^(2n+1)] ]]],{n,0,11}] (* Metin Sariyar, Sep 25 2019 *)

Formula

a(n) = A003285(A013710(n)). - Michel Marcus, Sep 25 2019

Extensions

a(11)-a(13) from Daniel Suteu, Jan 24 2019

Better name from Daniel Suteu, Jan 24 2019

a(14)-a(15) from Chai Wah Wu, Sep 25 2019