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%I #3 Dec 05 2013 19:56:01
%S 2,5,14,207,21517,463002621,107185713757914799,
%T 11488777233793645929753929838165243,
%U 65996001163867589433635003347899713882296914933506539441485910752304
%N Consider the mapping f(a/b) = (a^2 + b)/(a^2 - b). Taking a =2, b = 1 to start with and carrying out this mapping repeatedly on each new (reduced) rational number gives the following sequence 2/1,5/3,14/11,207/185,... Sequence contains the numerator.
%C The mapping f(a/b) = (a + b)/(a - b). Taking a = 2 b = 1 to start with and carrying out this mapping repeatedly on each new (reduced)rational number gives the periodic sequence 2/1,3/1,2/1,3/1,...
%Y Cf. A081484.
%K nonn
%O 1,1
%A _Amarnath Murthy_, Mar 24 2003
%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003
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