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Continued fraction of (5+sqrt(25+4r))/2, where r=sqrt(5).
1

%I #11 Jul 03 2024 10:54:15

%S 5,2,2,2,1,1,1,10,1,1,2,1,2,1,7,1,1,1,3,1,3,1,1,2,11,22,1,1,3,3,7,1,1,

%T 1,5,1,181,1,2,2,1,2,3,17,83,1,3,2,1,14,3,1,44,3,6,4,4,1,28,1,1,1,2,1,

%U 2,1,15,1,55,1,1,3,16,3,2,1,1,1,2,1,1,2,8,4,1,1,1,1,1,1,38

%N Continued fraction of (5+sqrt(25+4r))/2, where r=sqrt(5).

%C Equivalent to the periodic continued fraction [5, r, 5, r, ...] where r=sqrt(5). For geometric interpretations of both continued fractions, see A190287 and A188635.

%t ContinuedFraction[(5+Sqrt[25+4Sqrt[5]])/2,120] (* _Harvey P. Dale_, Jun 22 2022 *)

%Y Cf. A188635, A190287.

%K nonn,cofr

%O 0,1

%A _Clark Kimberling_, May 07 2011

%E Offset changed by _Andrew Howroyd_, Jul 03 2024