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A221566 Decimal expansion of b^b^b^..., where b equals e-2 (A001113). 1

%I #25 Jul 02 2023 16:53:01

%S 7,7,4,0,4,4,3,7,6,2,4,2,1,4,8,8,5,5,5,9,6,1,7,4,2,6,7,9,2,3,1,2,5,9,

%T 3,5,5,2,5,5,2,5,6,9,4,6,6,6,0,3,9,7,7,9,2,4,1,8,9,5,0,3,5,5,5,3,6,0,

%U 8,9,2,3,9,5,0,1,3,0,5,7,9,2,4,7,8,6,8,7,0,0,9,5,0,0,5,8,7,4,9,5,8,1,3,5,8

%N Decimal expansion of b^b^b^..., where b equals e-2 (A001113).

%C Inspired by A225053.

%e 0.7740443762421488555961742679231259355255256946660397792418950355...

%t b = N[E - 2, 128]; f[n_] := Nest[b^# &, b, n]; RealDigits[ f[186], 10, 111][[1]]

%t RealDigits[ -LambertW[ -Log[E - 2]]/Log[E - 2], 10, 105][[1]]

%Y Cf. A225053.

%K nonn,cons

%O 0,1

%A _Vladimir Reshetnikov_ and _Robert G. Wilson v_, May 05 2013

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Last modified July 22 22:22 EDT 2024. Contains 374544 sequences. (Running on oeis4.)