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 A280093 #10 Feb 16 2025 08:33:38 %S A280093 1,3,16,38,42,139,168,385,633,942,1728,3017,3842,17453,32989,39408, %T A280093 177334,268130,822437,1522942,3247926,5937944,22736433,34285758, %U A280093 51598089,57736381,105470828,173010552,541826347,1758595979,1803356572,3331293851,3545862229 %N A280093 Pierce Expansion of coth(1). %H A280093 G. C. Greubel, <a href="/A280093/b280093.txt">Table of n, a(n) for n = 0..1000</a> %H A280093 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PierceExpansion.html">Pierce Expansion</a> %H A280093 Wikipedia, <a href="http://en.wikipedia.org/wiki/Engel_expansion">Engel Expansion</a> %t A280093 PierceExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ %t A280093 NestList[{Floor[1/Expand[1 - #[[1]] #[[2]]]], Expand[1 - #[[1]] #[[2]]]} &, {Floor[1/(A - Floor[A])], A - Floor[A]}, n - 1]]; PierceExp[N[Coth[1] , 7!], 50] %Y A280093 Cf. A073747 (coth(1)). %K A280093 nonn %O A280093 0,2 %A A280093 _G. C. Greubel_, Dec 25 2016