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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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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, 127383588868883838996, 2808790552014917701633
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 1..175
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EXAMPLE
| 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
| 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..30); # Alois P. Heinz, Nov 18 2009
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CROSSREFS
| Sequence in context: A113060 A186374 A187249 * A111680 A095822 A025539
Adjacent sequences: A105148 A105149 A105150 * A105152 A105153 A105154
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Apr 10 2005
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EXTENSIONS
| 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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