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.

A325158 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, ...

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%I A325158 #36 May 15 2019 16:32:16
%S A325158 3,6,22,44,66,179,355,710,1065,1775,3550,6745,13135,25915,102928,
%T A325158 104348,312689,625378,1146408,3126535,5419351,10838702,16258053,
%U A325158 47627751,80143857,165707065,411557987,657408909,1068966896,2549491779,6167950454,12335900908,21053343141,42106686282
%N A325158 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 A325158 Serguei Zolotov, <a href="/A325158/b325158.txt">Table of n, a(n) for n = 0..1023</a>
%H A325158 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 A325158 Serguei Zolotov, <a href="/A325158/a325158.py.txt">Python program to calculate b-file</a>
%e A325158 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 A325158 Cf. A325159 (denominators), A002485.
%K A325158 nonn
%O A325158 0,1
%A A325158 _Serguei Zolotov_, Apr 04 2019