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

%I #37 Nov 19 2023 21:17:06

%S 1,5,31,153,745,3779,19011,95121,475251,2375759,11880177,59406541,

%T 297033919,1485165459,7425797777,37129022423

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

%F a(n) = A003285(A013710(n)). - _Michel Marcus_, Sep 25 2019

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

%Y Cf. A003285, A013710, A064932.

%K nonn,more

%O 0,2

%A _A.H.M. Smeets_, Sep 28 2017

%E a(11)-a(13) from _Daniel Suteu_, Jan 24 2019

%E Better name from _Daniel Suteu_, Jan 24 2019

%E a(14)-a(15) from _Chai Wah Wu_, Sep 25 2019