A293009 - OEIS

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A293009

Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = 1/Pi.

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

Alois P. Heinz, Table of n, a(n) for n = 0..10000

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