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 A063191 #7 Jan 02 2022 21:05:16 %S A063191 1,9,11,15,25,27,36,173,202,1965,10312,13538,31564,39844,88358,90936, %T A063191 171767,798975,1350952,1934096,4998490,6950469,16097930,30366857, %U A063191 201980012,280003359,726993911,6157450525,25921409405,26415716358 %N A063191 Engel expansion of Sum_{k>=0} 1/(8 + k)^k. %C A063191 Shgz(8) = 1.1219134834160251891529193531149802991... %t A063191 ToEngel[ x_, n_Integer ] := Rest@First@Transpose@NestList[ {Ceiling[ 1/# ], #}&[ Times@@#-1 ]&, {1, Abs[ x ]+1}, n ] %Y A063191 Cf. A006784 for definition of Engel expansion. %K A063191 nonn,easy %O A063191 1,2 %A A063191 _Olivier Gérard_, Jul 10 2001