Search: id:A129085 Results 1-1 of 1 results found. %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, Home Page (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 Search completed in 0.001 seconds