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 A225134 Decimal expansion of the positive root of x^x^x^x = 2. 2
 1, 4, 4, 6, 6, 0, 1, 4, 3, 2, 4, 2, 9, 8, 6, 4, 1, 7, 4, 5, 9, 7, 3, 3, 3, 9, 8, 7, 5, 9, 7, 6, 6, 1, 4, 8, 0, 6, 8, 7, 3, 2, 1, 0, 4, 2, 2, 8, 2, 2, 8, 0, 0, 2, 6, 3, 6, 3, 9, 0, 4, 7, 7, 2, 0, 9, 8, 5, 7, 0, 7, 6, 5, 9, 8, 3, 1, 0, 1, 6, 1, 4, 7, 4, 9, 2, 3, 5, 7, 2, 0, 0, 8, 1, 0, 9, 7, 6, 3, 0, 9, 9, 7, 5, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS It is unknown if this root is rational, algebraic irrational, or transcendental. LINKS J. Marshall Ash and Yiren Tan, A rational number of the form a^a with a irrational, Mathematical Gazette 96, March 2012, pp. 106-109. Wikipedia, Tetration, Open questions EXAMPLE 1.4466014324298641745973339875976614806873210422822800263639... MATHEMATICA RealDigits[FindRoot[x^x^x^x == 2, {x, 1}, WorkingPrecision -> 110][[1, 2]], 10, 105][[1]] PROG (PARI) solve(x=1, 2, x^x^x^x-2) \\ Charles R Greathouse IV, Apr 15 2014 CROSSREFS Cf. A030798, A199550, A225153 (continued fraction), A225208 (Engel expansion). Sequence in context: A078240 A296844 A016710 * A121064 A213342 A019559 Adjacent sequences:  A225131 A225132 A225133 * A225135 A225136 A225137 KEYWORD nonn,cons,easy AUTHOR Vladimir Reshetnikov, Apr 29 2013 STATUS approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)