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.

A058069 Numerators of convergents to Champernowne constant (A033307).

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%I A058069 #35 May 27 2025 14:25:32
%S A058069 0,1,9,10,1490839,1490849,2981688,4472537,20871836,25344373,46216209,
%T A058069 71560582,260897955,1115152402,1376050357,2491202759,3867253116,
%U A058069 60499999499
%N A058069 Numerators of convergents to Champernowne constant (A033307).
%C A058069 a(18) has 177 digits and is too large to include here. - _Lucas A. Brown_, Sep 02 2022
%H A058069 Lucas A. Brown, <a href="/A058069/b058069.txt">Table of n, a(n) for n = 0..39</a>
%H A058069 Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/A058068%2B9.py">A058068+9.py</a>.
%H A058069 E. B. Burger, <a href="https://web.archive.org/web/20240529063505/http://www.maa.org/sites/default/files/pdf/upload_library/22/Chauvenet/Burger.pdf">Diophantine Olympics and World Champions: Polynomials and Primes Down Under</a>, Amer. Math. Monthly, 107 (Nov. 2000), 822-829.
%p A058069 Digits := 100: E := A033307; convert(evalf(E),confrac,50,'cvgts'): cvgts;
%t A058069 Module[{champ=FromDigits[Flatten[IntegerDigits/@Range[20]]]}, Numerator[ Convergents[ champ/10^IntegerLength[champ]]]] (* _Harvey P. Dale_, Dec 17 2014 *)
%Y A058069 Cf. A033307, A058068.
%K A058069 nonn,frac
%O A058069 0,3
%A A058069 _N. J. A. Sloane_, Nov 24 2000
%E A058069 a(17) from _Lucas A. Brown_, Sep 02 2022