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Search: id:A081483
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| A081483 |
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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. |
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2
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| 2, 5, 14, 207, 21517, 463002621, 107185713757914799, 11488777233793645929753929838165243, 65996001163867589433635003347899713882296914933506539441485910752304
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OFFSET
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1,1
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COMMENT
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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,...
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CROSSREFS
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Cf. A081484.
Adjacent sequences: A081480 A081481 A081482 this_sequence A081484 A081485 A081486
Sequence in context: A059958 A102019 A097595 this_sequence A118478 A032841 A058221
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 24 2003
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003
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