%I A129085
%S A129085 1,2,6,12,79,22,187,369,4343,4220,67223,38067,535331,772210,476254,
%T A129085 1020589,15631362,4294584,116606407,22970156,5737508,6936929,185961619,
%U A129085 290508289,13765708850,10898842249,77379962122,91973292918
%N A129085 a(n) = denominator of b(n): b(n) = the minimum possible value for a continued 
               fraction whose terms are a permutation of the terms of the simple 
               continued fraction for H(n) = sum{k=1 to n} 1/k, the n-th harmonic 
               number.
%H A129085 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A129085 The continued fraction for H(5) = 137/60 is [2;3,1,1,8]. The minimum 
               value a continued fraction can have with these same terms in some 
               order is [1;8,1,3,2] = 88/79.
%p A129085 Contribution from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 04 2009: 
               (Start)
%p A129085 with (numtheory): H:= proc(n) option remember; `if` (n=1, 1, H(n-1)+1/
               n) end:
%p A129085 r:= proc(l) local j; infinity; for j from nops(l) to 1 by -1 do l[j]+1/
               % od end:
%p A129085 hs:= proc(l) local ll, h, s, m; ll:= []; h:= nops(l); s:= 1; m:= s; while 
               s<=h do ll:= [ll[],l[m]]; if m=h then h:= h-1; m:= s else s:= s+1; 
               m:= h fi od; ll end:
%p A129085 a:= n-> denom (r (hs (sort (cfrac (H(n), 'quotients'))))): seq (a(n), 
               n=1..40); (End)
%Y A129085 Cf. A129082, A129083, A129084.
%Y A129085 Sequence in context: A107763 A166470 A144144 this_sequence A141288 A062954 
               A038787
%Y A129085 Adjacent sequences: A129082 A129083 A129084 this_sequence A129086 A129087 
               A129088
%K A129085 frac,nonn
%O A129085 1,2
%A A129085 Leroy Quet Mar 28 2007
%E A129085 More terms from Diana Mecum (diana.mecum(AT)gmail.com), Jun 16 2007
%E A129085 Extended beyond a(12) Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 
               04 2009