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Search: id:A105151
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| A105151 |
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Greatest numerator among the n! ratios equal to the continued fractions which have the permutations of (1,2,3,...,n) for terms. |
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+0
3
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| 1, 3, 11, 48, 253, 1576, 11331, 92467, 845064, 8554195, 95032146, 1149773923, 15050556403, 211951761735, 3195468293093, 51354400809456, 876431092504915, 15830294577832786, 301703171661686235, 6050766978392127541
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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a(4) = 48 because the continued fractions [4;2,1,3] (= 48/11) and [3;1,2,4] (= 48/13) have the greatest numerators among continued fraction which each have a permutation of (1,2,3,4) for terms.
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MAPLE
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r:= proc(l) local j; infinity; for j to nops(l) do l[j] +1/% od end: gl:= proc(n) local i, l; l:=[]; for i to n do l:= `if` (irem (i, 2)=0, [l[], i], [i, l[]]) od; l end: a:= n-> numer (r (gl (n))): seq (a(n), n=1..25); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 18 2009]
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CROSSREFS
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Sequence in context: A121139 A127087 A113060 this_sequence A111680 A095822 A025539
Adjacent sequences: A105148 A105149 A105150 this_sequence A105152 A105153 A105154
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Apr 10 2005
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EXTENSIONS
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More terms from Vladeta Jovovic and David W. Wilson, Apr 12 2005
Further terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 18 2009
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