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 A063184 #8 Jan 02 2022 20:24:35 %S A063184 1,2,4,36,2330,3274,7195,28106,38508,74032,74935,203763,264407,431066, %T A063184 1679581,2473728,2790505,9118184,10686256,39154390,64918230, %U A063184 3725272877,6503732261,10906782833,33507112881,34193678041 %N A063184 Engel expansion of Sum_{k>=0} 1/(1 + k)^k. %C A063184 Shgz(1) = 1.6284737129015844470558891432618830316... %t A063184 ToEngel[ x_, n_Integer ] := Rest@First@Transpose@NestList[ {Ceiling[ 1/# ], #}&[ Times@@#-1 ]&, {1, Abs[ x ]+1}, n ] %Y A063184 Cf. A006784 for definition of Engel expansion. %K A063184 nonn,easy %O A063184 1,2 %A A063184 _Olivier Gérard_, Jul 10 2001