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.
%I A356665 #34 Jan 01 2023 17:14:44 %S A356665 1,3,5,7,10,10,10,10,12,11,13,13,15,16,16,17,18,18,19,20,22,24,25,25, %T A356665 26,28,30,31,31,33,34,35,38,40,41,41,42,43,45,46,46,47,48,50,51,52,52, %U A356665 54,55,56,56,57,57,59,60,60,61,61,62,61,63,65,64 %N A356665 Number of correct decimal digits of the approximation of Pi obtained from the continued fraction convergents A002485(n)/A002486(n). %C A356665 For most terms the number of correct digits is equal to or slightly less than the sum of the number of digits of the numerator and the denominator. %C A356665 But for some pairs, the number of correct digits exceeds that sum. For example, a(5) = 7 digits is 1 more than length("355") + length("113") = 6. %H A356665 Daniel Mondot, <a href="/A356665/b356665.txt">Table of n, a(n) for n = 2..10000</a> %e A356665 For n=5, A002485(5)/A002486(5) = 355/113 = 3.1415929..., 7 correct decimal digits of Pi. So a(5) = 7. %Y A356665 Cf. A002485, A002486, A000796. %K A356665 nonn,base,easy %O A356665 2,2 %A A356665 _Daniel Mondot_, Aug 21 2022