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Search: id:A081484
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| A081484 |
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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 denominators. |
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2
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| 1, 3, 11, 185, 21332, 462959957, 107185713294954842, 11488777233793645715382503248255559, 65996001163867589433635003347899702393519681139860824058982662496745
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OFFSET
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1,2
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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. A081483.
Adjacent sequences: A081481 A081482 A081483 this_sequence A081485 A081486 A081487
Sequence in context: A053888 A118479 A103836 this_sequence A125738 A092840 A007156
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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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