0,1

This infinite tetration limit of (E/Pi)^^n is also the only solution of x*(Pi/E)^x = 1.

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Wikipedia, Lambert W function

Wikipedia, Tetration

When 1/E^E <= c < 1, then c^c^c^... = LambertW(log(1/c))/log(1/c).

0.88036777898173462182674985...

(PARI) lambertw(log(Pi)-1)/(log(Pi)-1)

Cf. A061360 (E/Pi), A231098 (tetration of Pi/E).

Sequence in context: A326802 A179639 A113809 * A309820 A309826 A321096

Adjacent sequences: A231094 A231095 A231096 * A231098 A231099 A231100

nonn,cons,easy

Stanislav Sykora, Nov 06 2013

approved