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 A059178 #28 Apr 13 2018 11:15:34
%S A059178 1,4,26,32,58,1361,4767,22303,134563,188609,282816,979804,1272032,
%T A059178 1330628,3719474,5039143,12531368,435451235,5391276884,6140156718,
%U A059178 24140682996,30267765913,56443830660,176797839116,645251112512
%N A059178 Engel expansion of 2^(1/3) = 1.25992.
%C A059178 Cf. A006784 for definition of Engel expansion.
%D A059178 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
%H A059178 G. C. Greubel, <a href="/A059178/b059178.txt">Table of n, a(n) for n = 1..1000</a>
%H A059178 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 A059178 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 A059178 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>
%t A059178 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]];
%t A059178 EngelExp[N[2^(1/3), 7!], 10] (* modified by _G. C. Greubel_, Dec 26 2016 *)
%Y A059178 Cf. A002580.
%K A059178 nonn,easy,nice
%O A059178 1,2
%A A059178 _Mitch Harris_