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 A059190 #23 Apr 13 2018 11:22:04 %S A059190 4,4,4,4,4,6,23,26,126,132,154,269,421,911,1899,7335,14245,34244, %T A059190 78354,173699,239896,247397,659900,1646344,2454988,6831657,65833355, %U A059190 839918922,1187969748,3583279448,4114383765,6590212761,11304687651 %N A059190 Engel expansion of gamma^2, (gamma is the Euler-Mascheroni constant A001620) = 0.333178. %C A059190 Cf. A006784 for definition of Engel expansion. %D A059190 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191. %H A059190 G. C. Greubel, <a href="/A059190/b059190.txt">Table of n, a(n) for n = 1..1000</a> %H A059190 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 A059190 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 A059190 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a> %t A059190 EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ %t A059190 NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]]; %t A059190 EngelExp[N[EulerGamma^2, 7!], 100] (* Modified by _G. C. Greubel_, Dec 27 2016 *) %Y A059190 Cf. A155969. %K A059190 nonn,easy,nice %O A059190 1,1 %A A059190 _Mitch Harris_