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 A063187 #8 Jan 02 2022 21:04:29 %S A063187 1,5,7,12,800,1502,3021,5079,6325,17537,50021,158855,826545,5023575, %T A063187 5097327,6369490,17535161,19462254,22535278,24898987,55666978, %U A063187 111142756,305716101,2653533055,3591521863,4889613852,10577043282 %N A063187 Engel expansion of Sum_{k>=0} 1/(4 + k)^k. %C A063187 Shgz(4) = 1.2309553591249981798150126937918121309... %t A063187 ToEngel[ x_, n_Integer ] := Rest@First@Transpose@NestList[ {Ceiling[ 1/# ], #}&[ Times@@#-1 ]&, {1, Abs[ x ]+1}, n ] %Y A063187 Cf. A006784 for definition of Engel expansion. %K A063187 nonn,easy %O A063187 1,2 %A A063187 _Olivier Gérard_, Jul 10 2001