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%I #4 Mar 30 2012 18:36:32
%S 1,1,2,2,3,3,5,5,5,5,8,7,8,8,7,8,12,13,11,12,13,12,13,11,12,13,19,19,
%T 21,17,18,19,19,21,19,19,21,17,18,19,19,21,29,31,30,31,34,27,26,29,29,
%U 31,30,31,34
%N Denominator of rationals >= 1 whose continued fractions consist only of 1's and 2's, in ascending order by the sum of the continued fraction terms and descending by lowest order continued fraction terms to highest.
%F a(F(n)+F(n-3)+m) = a(F(n-1)+m) + a(F(n-3)+m) when 0<m<=F(n-2), n>2; a(F(n)+m) = 2*a(F(n-2)+m) + a(F(n-4)+m) when 0<m<=F(n-3), n>3; where a(0)=1, a(F(n+1)-1) = F(n) = n-th Fibonacci number; a(F(2n+1)) = n-th Pell number.
%Y Cf. A072728, A071585, A071766, A072726, A072727, A000129.
%K easy,frac,nice,nonn
%O 0,3
%A _Paul D. Hanna_, Jul 09 2002
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