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Quotient cycle length in continued fraction expansion of sqrt(1+n^n).
0

%I #12 Aug 29 2019 10:19:15

%S 1,1,4,1,30,1,32,1,1,1,20554,1,23522,1,1013500,1,29130218,1,

%T 3123943068,1

%N Quotient cycle length in continued fraction expansion of sqrt(1+n^n).

%t Table[Length[Part[ContinuedFraction[Sqrt[1+u^u]], 2]], {u, 1, 15}]

%Y Cf. A003285, A077098.

%K nonn,more

%O 1,3

%A _Labos Elemer_, Nov 05 2002

%E a(17)-a(18) from _Daniel Suteu_, Jan 25 2019

%E a(19)-a(20) from _Vaclav Kotesovec_, Aug 29 2019