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 A231097 Decimal expansion of the power tower of the ratio E/Pi. 1
 8, 8, 0, 3, 6, 7, 7, 7, 8, 9, 8, 1, 7, 3, 4, 6, 2, 1, 8, 2, 6, 7, 4, 9, 8, 5, 2, 8, 5, 4, 4, 2, 0, 7, 1, 1, 4, 5, 9, 5, 7, 9, 9, 6, 3, 4, 7, 6, 6, 3, 4, 9, 2, 9, 1, 6, 4, 8, 1, 9, 6, 3, 6, 2, 0, 5, 7, 2, 4, 7, 6, 6, 4, 9, 9, 9, 0, 3, 9, 9, 4, 2, 0, 4, 2, 8, 3, 9, 1, 9, 8, 4, 2, 2, 0, 8, 1, 8, 7, 4, 6, 6, 1, 5, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This infinite tetration limit of (E/Pi)^^n is also the only solution of x*(Pi/E)^x = 1. LINKS Stanislav Sykora, Table of n, a(n) for n = 0..2000 Wikipedia, Lambert W function Wikipedia, Tetration FORMULA When 1/E^E <= c < 1, then c^c^c^... = LambertW(log(1/c))/log(1/c). EXAMPLE 0.88036777898173462182674985... PROG (PARI) lambertw(log(Pi)-1)/(log(Pi)-1) CROSSREFS Cf. A061360 (E/Pi), A231098 (tetration of Pi/E). Sequence in context: A273818 A179639 A113809 * A243508 A144802 A275477 Adjacent sequences:  A231094 A231095 A231096 * A231098 A231099 A231100 KEYWORD nonn,cons,easy AUTHOR Stanislav Sykora, Nov 06 2013 STATUS approved

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Last modified August 20 16:49 EDT 2018. Contains 313926 sequences. (Running on oeis4.)