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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
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS It is known that (1/4)^(1/4)^(1/4)^... = 1/2. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Power Tower Wikipedia, Tetration FORMULA Equals 1/(1+log(2)) = 1/(1+A002162). EXAMPLE 0.59061610914964124974380690932325155711665304887388... CROSSREFS Cf. A002162, A277522, A277559, A293009, A300916. Sequence in context: A198615 A195372 A193017 * A096789 A261623 A298515 Adjacent sequences:  A277648 A277649 A277650 * A277652 A277653 A277654 KEYWORD nonn,cons AUTHOR Alois P. Heinz, Oct 25 2016 STATUS approved

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Last modified July 22 10:03 EDT 2019. Contains 325219 sequences. (Running on oeis4.)