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A231095 Decimal expansion of the power tower of Euler constant gamma. 4
6, 8, 5, 9, 4, 7, 0, 3, 5, 1, 6, 7, 4, 2, 8, 4, 8, 1, 8, 7, 5, 7, 3, 5, 9, 6, 1, 9, 8, 0, 4, 1, 7, 3, 5, 8, 7, 4, 8, 8, 6, 2, 1, 4, 1, 8, 7, 0, 3, 0, 1, 5, 0, 6, 7, 0, 1, 8, 6, 6, 8, 5, 8, 1, 7, 0, 3, 0, 1, 8, 7, 6, 7, 1, 4, 6, 9, 5, 7, 3, 8, 5, 6, 1, 7, 8, 3, 7, 3, 7, 0, 1, 6, 5, 9, 1, 1, 1, 0, 4, 8, 9, 1, 5, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Wikipedia, Euler-Mascheroni constant

Wikipedia, Lambert W function

Wikipedia, Tetration

FORMULA

In general, for 1/E^E <= c < 1, c^c^c^... = LambertW(log(1/c))/log(1/c). Hence, this number is LambertW(log(1/gamma))/log(1/gamma).

EXAMPLE

0.685947035167428481875735 ...

MAPLE

evalf(-LambertW(-log(gamma))/log(gamma), 120); # Vaclav Kotesovec, Oct 26 2014

MATHEMATICA

c = EulerGamma; RealDigits[ ProductLog[-Log[c]]/Log[c], 10, 111] (* Robert G. Wilson v, Oct 24 2014 *)

PROG

(PARI) -lambertw(-log(Euler))/log(Euler)

CROSSREFS

Cf. A001620.

Sequence in context: A260691 A030644 A073462 * A201195 A266092 A143627

Adjacent sequences:  A231092 A231093 A231094 * A231096 A231097 A231098

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Nov 03 2013

STATUS

approved

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Last modified April 30 12:40 EDT 2017. Contains 285669 sequences.