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A122700
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Numbers n such that the length of the continued fraction for (n/k) is maximised for a unique k (1<k<n).
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0
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2, 3, 4, 5, 8, 12, 13, 15, 21, 30, 34, 39, 40, 42, 48, 55, 56, 65, 72, 74, 80, 89, 102, 110, 130, 144, 168, 170, 176, 180, 185, 193, 194, 208, 233, 272, 275, 288, 297, 299, 312, 336, 340, 377, 400, 445, 456, 468, 517, 546, 550, 610, 638, 699, 715, 720, 754, 777
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Sequence contains all Fibonacci's numbers.
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EXAMPLE
| 5/2=[2, 2], 5/3=[1, 1, 2], 5/4=[1, 4] thus continued fraction for 5/k is maxised for the unique k=3 and 5 is in the sequence.
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CROSSREFS
| Cf. A084242.
Cf. A089642. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 02 2008]
Sequence in context: A189761 A101137 A053021 * A048486 A179402 A065428
Adjacent sequences: A122697 A122698 A122699 * A122701 A122702 A122703
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 25 2006
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