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A293009 Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = 1/Pi. 4
5, 6, 5, 0, 1, 8, 4, 4, 5, 9, 6, 0, 2, 4, 1, 5, 0, 5, 2, 8, 9, 9, 4, 0, 9, 6, 0, 6, 2, 2, 4, 5, 1, 9, 2, 0, 2, 8, 3, 9, 2, 6, 8, 0, 0, 7, 8, 5, 1, 1, 8, 3, 8, 2, 8, 5, 5, 1, 9, 0, 7, 7, 6, 5, 3, 9, 8, 9, 6, 0, 7, 0, 6, 4, 1, 1, 3, 2, 5, 1, 5, 5, 4, 4, 0, 8, 2, 3, 0, 4, 7, 7, 2, 1, 7, 8, 3, 8, 8, 6, 8, 1, 4, 7, 3, 6 (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 Pi*exp(-2*LambertW(log(Pi)))/(1+LambertW(log(Pi))).
EXAMPLE
0.56501844596024150528994096062245192028392680078511838285519...
MATHEMATICA
RealDigits[Pi*Exp[-2*LambertW[Log[Pi]]]/(1+LambertW[Log[Pi]]), 10, 100][[1]] (* G. C. Greubel, Sep 09 2018 *)
PROG
(PARI) Pi*exp(-2*lambertw(log(Pi)))/(1+lambertw(log(Pi))) \\ Michel Marcus, Mar 16 2018
CROSSREFS
Sequence in context: A082220 A144522 A020504 * A011004 A226975 A273065
KEYWORD
nonn,cons
AUTHOR
Alois P. Heinz, Mar 16 2018
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)