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 A063193 #10 Jan 02 2022 20:22:27 %S A063193 1,11,13,17,19,22,39,46,95,100,202,716,1008,1347,3544,4174,27864, %T A063193 51834,81170,115510,172502,1297395,1428481,3429593,8484143,16796993, %U A063193 35875141,202879810,560789726,953079326,1456311045,2218799342 %N A063193 Engel expansion of Sum_{k>=0} 1/(10 + k)^k. %C A063193 Shgz(10) = 1.0983361113176944131706689076969241474... %t A063193 ToEngel[ x_, n_Integer ] := Rest@First@Transpose@NestList[ {Ceiling[ 1/# ], #}&[ Times@@#-1 ]&, {1, Abs[ x ]+1}, n ] %Y A063193 Cf. A006784 for definition of Engel expansion. %K A063193 nonn,easy %O A063193 1,2 %A A063193 _Olivier Gérard_, Jul 10 2001