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 A059185 #27 Sep 02 2023 18:54:12 %S A059185 1,1,1,1,1,1,1,1,1,2,2,3,3,4,5,9,28,45,72,111,329,415,846,1488,5684, %T A059185 1895742,2890879,5388452,18083303,30915293,32699271,38719784,70637726, %U A059185 118179186,151342409,995604288,1839673662,5342025157 %N A059185 Engel expansion of Pi^2 = 9.8696... %C A059185 Cf. A006784 for definition of Engel expansion. %D A059185 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191. %H A059185 G. C. Greubel and T. D. Noe, <a href="/A059185/b059185.txt">Table of n, a(n) for n = 1..1000</a> (terms 1 to 300 from T. D. Noe; terms 301 to 1000 from G. C. Greubel, Dec 27 2016) %H A059185 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 A059185 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 A059185 <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a> %t A059185 EngelExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ %t A059185 NestList[{Ceiling[1/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/1} &, {Ceiling[1/(A - Floor[A])], (A - Floor[A])/1}, n - 1]]; %t A059185 EngelExp[N[Pi^2, 7!], 100] (* modified by _G. C. Greubel_, Dec 27 2016 *) %Y A059185 Cf. A002388 (Pi^2). %K A059185 nonn,easy,nice %O A059185 1,10 %A A059185 _Mitch Harris_