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A081483 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. 1

%I

%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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Last modified June 20 10:07 EDT 2021. Contains 345162 sequences. (Running on oeis4.)