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 A080219 Decimal expansion of exponential factorial constant Sum_{n>=1} 1/A049384(n). 2
 1, 6, 1, 1, 1, 1, 4, 9, 2, 5, 8, 0, 8, 3, 7, 6, 7, 3, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is a Liouville number and therefore transcendental. REFERENCES Contributed by Jonathan Sondow. LINKS J. Sondow, MathWorld: Exponential Factorial J. Sondow, Irrationality measures, irrationality bases, and a theorem of Jarnik, arXiv 2004; see L_4 in Example 4. Wikipedia, Exponential factorial Wikipedia, Liouville number EXAMPLE 1/1 + 1/2 + 1/9 + 1/262144 + ... = 1.611114925808376736111... MATHEMATICA eFac[1] = 1; eFac[n_] := eFac[n] = n^eFac[n-1]; Clear[s]; s[m_] := s[m] = RealDigits[Sum[1/eFac[n], {n, 1, m}], 10, 100] // First; s[m = 1]; While[s[m] != s[m - 1], m++]; s[m] (* Jean-François Alcover, Feb 08 2013 *) CROSSREFS Cf. A049384, A167155. Sequence in context: A234959 A167155 A268731 * A293901 A040037 A009194 Adjacent sequences:  A080216 A080217 A080218 * A080220 A080221 A080222 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Feb 06 2003 STATUS approved

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Last modified July 20 11:55 EDT 2018. Contains 312804 sequences. (Running on oeis4.)