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 A059182 #30 Apr 13 2018 11:18:05
%S A059182 1,1,4,5,20,30,48,74,265,818,897,2027,5107,6846,13049,236586,364437,
%T A059182 643493,1144424,7294777,49484843,51161394,76008087,202870914,
%U A059182 391981014,11731070977,79069971960,415100034571,1212266245583
%N A059182 Engel expansion of log(10) = 2.30259...
%C A059182 Cf. A006784 for definition of Engel expansion.
%D A059182 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
%D A059182 .
%H A059182 G. C. Greubel, <a href="/A059182/b059182.txt">Table of n, a(n) for n = 1..1000</a>
%H A059182 F. Engel, <a href="/A006784/a006784.pdf">Entwicklung der Zahlen nach Stammbruechen</a>, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191. English translation by Georg Fischer, included with his permission.
%H A059182 P. Erdős and Jeffrey Shallit, <a href="http://www.numdam.org/item?id=JTNB_1991__3_1_43_0">New bounds on the length of finite Pierce and Engel series</a>, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no. 1, 43-53.
%H A059182 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>
%t A059182 EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]]; EngelExp[N[Log[10], 7!], 50] (* modified by _G. C. Greubel_, Dec 26 2016 *)
%Y A059182 Cf. A002392.
%K A059182 nonn,easy,nice
%O A059182 1,3
%A A059182 _Mitch Harris_