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%I #36 May 15 2019 16:32:16
%S 3,6,22,44,66,179,355,710,1065,1775,3550,6745,13135,25915,102928,
%T 104348,312689,625378,1146408,3126535,5419351,10838702,16258053,
%U 47627751,80143857,165707065,411557987,657408909,1068966896,2549491779,6167950454,12335900908,21053343141,42106686282
%N Numerators of convergents to Pi using best rational approximation whose denominator is between consecutive powers of 2: [2^n, 2^(n+1)-1], where n = 0, 1, 2, ...
%H Serguei Zolotov, <a href="/A325158/b325158.txt">Table of n, a(n) for n = 0..1023</a>
%H E. Charrier and L. Buzer, <a href="https://doi.org/10.1016/j.dam.2009.03.005">Approximating a real number by a rational number with a limited denominator: A geometric approach</a>, Discrete Applied Mathematics, Volume 157, Issue 16, 28 August 2009, Pages 3473-3484.
%H Serguei Zolotov, <a href="/A325158/a325158.py.txt">Python program to calculate b-file</a>
%e The convergents are 3/1, 6/2, 22/7, 44/14, 66/21, 179/57, 355/113, 710/226, 1065/339, 1775/565, 3550/1130, 6745/2147, 13135/4181, 25915/8249, 102928/32763, ... = A325158/A325159.
%Y Cf. A325159 (denominators), A002485.
%K nonn
%O 0,1
%A _Serguei Zolotov_, Apr 04 2019