cp's OEIS Frontend

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.

A231098 Decimal expansion of the power tower of the ratio Pi/e.

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%I A231098 #20 May 23 2023 05:39:37
%S A231098 1,1,8,7,5,2,3,6,3,5,3,5,9,2,4,9,9,0,5,4,3,8,4,0,7,9,0,2,8,2,3,6,3,2,
%T A231098 7,7,3,2,9,2,4,0,6,0,5,3,1,2,1,9,5,2,3,7,8,9,0,6,0,3,1,3,6,5,9,4,3,5,
%U A231098 0,0,0,4,5,1,8,6,6,2,3,8,3,7,7,5,9,3,0,3,4,9,9,0,4,7,6,8,2,2,8,1,5,8,2,0,1
%N A231098 Decimal expansion of the power tower of the ratio Pi/e.
%C A231098 This limit for n->infinity of the tetration (Pi/e)^^n exists because Pi/e < e^(1/e). Its value is also the smaller one of the two solutions of x*(e/Pi)^x = 1.
%H A231098 Stanislav Sykora, <a href="/A231098/b231098.txt">Table of n, a(n) for n = 1..2000</a>
%H A231098 Stanislav Sykora, <a href="https://oeis.org/wiki/File:TetrationLimit.txt">PARI/GP script for Tetration Limit</a>.
%H A231098 Wikipedia, <a href="http://en.wikipedia.org/wiki/Lambert_W_function">Lambert W function</a>.
%H A231098 Wikipedia, <a href="http://en.wikipedia.org/wiki/Tetration">Tetration</a>.
%F A231098 Equals LambertW(1-log(Pi))/(1-log(Pi)). - _Alois P. Heinz_, Jul 12 2018
%e A231098 1.18752363535924990543840790...
%t A231098 RealDigits[ProductLog[1 - Log[Pi]]/(1 - Log[Pi]), 10, 120][[1]] (* _Amiram Eldar_, May 23 2023 *)
%o A231098 (PARI) See the above link
%Y A231098 Cf. A000796, A001113, A231097.
%K A231098 nonn,cons
%O A231098 1,3
%A A231098 _Stanislav Sykora_, Nov 06 2013