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A277651 Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = 1/4. 5

%I

%S 5,9,0,6,1,6,1,0,9,1,4,9,6,4,1,2,4,9,7,4,3,8,0,6,9,0,9,3,2,3,2,5,1,5,

%T 5,7,1,1,6,6,5,3,0,4,8,8,7,3,8,8,0,0,6,7,4,4,0,2,7,9,2,0,1,9,2,1,8,2,

%U 4,9,3,3,7,5,4,4,5,7,2,7,5,2,5,4,4,3,5,2,2,3,9,4,1,8,4,8,8,3,8,6,2,6,8,9

%N Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = 1/4.

%C It is known that (1/4)^(1/4)^(1/4)^... = 1/2.

%H Alois P. Heinz, <a href="/A277651/b277651.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PowerTower.html">Power Tower</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetration">Tetration</a>

%F Equals 1/(1+log(2)) = 1/(1+A002162).

%e 0.59061610914964124974380690932325155711665304887388...

%Y Cf. A002162, A277522, A277559, A293009, A300916.

%K nonn,cons

%O 0,1

%A _Alois P. Heinz_, Oct 25 2016

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Last modified August 24 16:21 EDT 2019. Contains 326295 sequences. (Running on oeis4.)