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 A215757 #22 Jul 09 2024 12:46:40
%S A215757 0,1,10,21,52,73,1001,1074,8519,154416,317351,789118,1106469,3002056,
%T A215757 10112637,43452604,53565241,97017845,1411815071,2920647987,
%U A215757 129920326499,132840974486,528443249957,661284224443,9786422392159,20234129008761,50254680409681,70488809418442,120743489828123,311975789074688
%N A215757 Numerators of the continued fraction convergents of log_10(3).
%C A215757 3^(denominator of convergent) gets increasingly close to 10^a(n), agreeing to approximately a(n) digits
%t A215757 Rest[Numerator[Convergents[Log[10,3],30]]] (* _Harvey P. Dale_, Sep 02 2015 *)
%o A215757 (PARI) {my(cf=contfrac(log(3)/log(10))); vector(#cf, i, contfracpnqn( cf[1..i])[1, 1])}
%Y A215757 Denominators are in A215753.
%Y A215757 Cf. A046104, A073733, A114490, A215749.
%K A215757 nonn,frac
%O A215757 0,3
%A A215757 _V. Raman_, Aug 23 2012
%E A215757 a(0)=0 prepended by _Andrew Howroyd_, Jul 09 2024