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A277559
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Decimal expansion of the first derivative of the infinite power tower function x^x^x... at x = sqrt(2).
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3
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9, 2, 1, 7, 5, 3, 6, 7, 0, 0, 1, 9, 2, 3, 1, 5, 4, 4, 7, 0, 5, 1, 3, 1, 3, 6, 3, 2, 6, 5, 2, 4, 7, 9, 1, 9, 6, 0, 8, 2, 3, 9, 7, 9, 9, 6, 0, 3, 7, 9, 5, 4, 2, 9, 0, 3, 1, 1, 2, 0, 8, 4, 1, 2, 7, 3, 3, 3, 2, 2, 5, 3, 6, 7, 3, 5, 0, 3, 0, 2, 9, 0, 7, 5, 7, 4, 5, 7, 5, 1, 5, 2, 2, 5, 4, 3, 0, 7, 9, 3, 2, 4, 2, 0, 2
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OFFSET
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1,1
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COMMENTS
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It is known that sqrt(2)^sqrt(2)^sqrt(2)^... = 2.
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LINKS
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FORMULA
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Equals 2^(3/2)/(1-log(2)).
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EXAMPLE
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9.21753670019231544705131363265247919608239799603795429...
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MATHEMATICA
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RealDigits[Sqrt[8]/(1-Log[2]), 10, 100][[1]] (* G. C. Greubel, Jul 27 2018 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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