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 A059184 #25 Apr 13 2018 11:19:00 %S A059184 3,4,5,18,27,37,415,445,1812,2475,3928,6707,14673,65863,89033,265841, %T A059184 1293955,1525697,2541166,7906280,107955268,154190828,887303031, %U A059184 1767107652,3068165143,3209500563,92762706640,147991352023 %N A059184 Engel expansion of 1/log(10) = 0.434294.... %C A059184 Cf. A006784 for definition of Engel expansion. %D A059184 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191. %H A059184 G. C. Greubel, <a href="/A059184/b059184.txt">Table of n, a(n) for n = 1..1000</a> %H A059184 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 A059184 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 A059184 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a> %t A059184 EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ %t A059184 NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]]; %t A059184 EngelExp[N[1/Log[10], 7!], 100] (* Modified by _G. C. Greubel_, Dec 27 2016 *) %Y A059184 Cf. A002285 (1/log(10)). %K A059184 nonn,easy,nice %O A059184 1,1 %A A059184 _Mitch Harris_