Search: id:A105788
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%I A105788
%S A105788 1,1,2,4,16,192,29984,776474136,582837534997525192,
%T A105788 334033256143852482501323872038100184,
%U A105788 111432026121971983026248175426087984579225579894344486903683496908882296
%N A105788 a(1) = 1; a(m) = minimum numerator possible with a continued fraction 
               [b(1);b(2),b(3),...b(m-1)], where (b(1),b(2),b(3),...b(m-1)) is a 
               permutation of (a(1),a(2),a(3),...a(m-1)).
%H A105788 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A105788 a(6)=192 because the minimum numerator among permutations of
%e A105788 (1,1,2,4,16) happens when the continued fraction is [1:4,2,16,1]=192/
               157 or
%e A105788 [1:16,2,4,1]=192/181.
%t A105788 a[1] = 1; a[n_] := a[n] = Union[ Numerator /@ FromContinuedFraction /
               @ Permutations[ Table[ a[i], {i, n - 1}]]] [[1]]; Table[ a[n], {n, 
               11}]
%Y A105788 Cf. A105787.
%Y A105788 Sequence in context: A061588 A050472 A109457 this_sequence A071008 A001146 
               A114641
%Y A105788 Adjacent sequences: A105785 A105786 A105787 this_sequence A105789 A105790 
               A105791
%K A105788 nonn
%O A105788 1,3
%A A105788 Leroy Quet and Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 19 2005

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