%I #11 Oct 22 2024 14:59:54
%S 0,1,1,2,1,2,4,5,1,2,4,5,6,9,9,12,1,2,4,5,6,9,9,12,8,13,17,22,13,20,
%T 22,29,1,2,4,5,6,9,9,12,8,13,17,22,13,20,22,29,10,17,25,32,25,38,40,
%U 53,17,28,38,49,32,49,53,70
%N Denominator of the rationals >= 1 whose continued fractions consist of only even terms, in ascending order by the sum of the continued fraction terms and descending by lowest order continued fraction terms to highest.
%H T. D. Noe, <a href="/A072727/b072727.txt">Table of n, a(n) for n = 0..1023</a>
%F a(n) = A072726(m) where m = n - 2^(floor(log_2(n))). a(0) = 0, a(2^k) = 1, a(2^k + 1) = 2, a(2^k - 1) = the k-th Pell number. [Corrected by _Sean A. Irvine_, Oct 22 2024]
%Y Cf. A072726, A071585, A071766, A072728, A072729, A000129.
%K easy,frac,nice,nonn
%O 0,4
%A _Paul D. Hanna_, Jul 09 2002