cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A072727 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.

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%I A072727 #11 Oct 22 2024 14:59:54
%S A072727 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 A072727 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 A072727 53,17,28,38,49,32,49,53,70
%N A072727 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 A072727 T. D. Noe, <a href="/A072727/b072727.txt">Table of n, a(n) for n = 0..1023</a>
%F A072727 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 A072727 Cf. A072726, A071585, A071766, A072728, A072729, A000129.
%K A072727 easy,frac,nice,nonn
%O A072727 0,4
%A A072727 _Paul D. Hanna_, Jul 09 2002