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A300916 Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = 1/e. 4
5, 5, 7, 9, 1, 9, 2, 8, 2, 2, 5, 5, 4, 1, 6, 0, 4, 6, 7, 7, 3, 8, 6, 4, 7, 3, 3, 1, 3, 7, 2, 8, 4, 3, 2, 5, 2, 6, 8, 0, 5, 9, 5, 2, 2, 1, 4, 7, 0, 0, 0, 5, 6, 8, 8, 5, 6, 8, 6, 1, 6, 7, 8, 6, 6, 5, 6, 6, 9, 1, 6, 8, 0, 8, 0, 0, 6, 2, 9, 0, 4, 7, 4, 3, 6, 9, 7, 5, 4, 6, 6, 9, 3, 4, 2, 8, 0, 5, 7, 8, 8, 8, 4, 1, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Power Tower
Wikipedia, Tetration
FORMULA
Equals exp(1)*exp(-2*LambertW(1))/(1+LambertW(1)).
EXAMPLE
0.557919282255416046773864733137284325268059522147000568856861678665669168...
MATHEMATICA
RealDigits[E*Exp[-2*LambertW[1]]/(1+LambertW[1]), 10, 100][[1]] (* G. C. Greubel, Sep 09 2018 *)
PROG
(PARI) exp(1)*exp(-2*lambertw(1))/(1+lambertw(1)) \\ Michel Marcus, Mar 16 2018
CROSSREFS
Sequence in context: A196348 A196351 A154583 * A134125 A097996 A033300
KEYWORD
nonn,cons
AUTHOR
Alois P. Heinz, Mar 16 2018
STATUS
approved

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Last modified April 15 05:45 EDT 2024. Contains 371667 sequences. (Running on oeis4.)