A300916 - OEIS

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A300916

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

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

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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 exp(1)*exp(-2*LambertW(1))/(1+LambertW(1)).

EXAMPLE

0.557919282255416046773864733137284325268059522147000568856861678665669168...

MATHEMATICA