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 A059179 #25 Apr 26 2019 16:07:20
%S A059179 1,3,4,4,5,8,9,14,63,91,132,605,753,993,17297,26120,28227,43466,
%T A059179 123132,3551445,7243732,13958201,41249856,194184556,3261328035,
%U A059179 13339681270,18470226192,23831447862,25356135862
%N A059179 Engel expansion of 3^(1/3) = 1.44225.
%C A059179 Cf. A006784 for definition of Engel expansion.
%D A059179 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
%H A059179 G. C. Greubel, <a href="/A059179/b059179.txt">Table of n, a(n) for n = 1..1000</a>
%H A059179 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 A059179 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 A059179 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>
%t A059179 EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@
%t A059179 NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]];
%t A059179 EngelExp[N[3^(1/3), 7!], 100] (* Modified by _G. C. Greubel_, Dec 27 2016 *)
%K A059179 nonn,easy,nice
%O A059179 1,2
%A A059179 _Mitch Harris_