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 A231098 Decimal expansion of the power tower of the ratio Pi/e. 2
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 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. LINKS Stanislav Sykora, Table of n, a(n) for n = 1..2000 Stanislav Sykora, PARI/GP script for Tetration Limit Wikipedia, Lambert W function Wikipedia, Tetration FORMULA Equals LambertW(1-log(Pi))/(1-log(Pi)). - Alois P. Heinz, Jul 12 2018 EXAMPLE 1.18752363535924990543840790... PROG (PARI) See the above link CROSSREFS Cf. A000796, A001113. Sequence in context: A185346 A200017 A316728 * A072003 A160668 A086033 Adjacent sequences:  A231095 A231096 A231097 * A231099 A231100 A231101 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Nov 06 2013 STATUS approved

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Last modified May 8 12:35 EDT 2021. Contains 343666 sequences. (Running on oeis4.)