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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
OFFSET
1,2
COMMENTS
This is a Liouville number and therefore transcendental.
REFERENCES
Contributed by Jonathan Sondow.
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
Sequence in context: A369465 A268731 A376882 * A339747 A293901 A324891
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Feb 06 2003
STATUS
approved