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%I #22 May 27 2014 12:25:08
%S 1,6,9,8,8,0,4,7,6,7,6,7,0,0,0,7,2,1,1,9,5,2,6,9,0,1,1,5,9,1,4,6,4,0,
%T 4,3,2,5,5,9,7,3,0,9,3,6,6,4,9,8,3,9,6,9,7,8,1,7,4,1,9,1,7,4,2,6,8,9,
%U 2,0,0,0
%N Decimal expansion of the continued fraction c(1) +c(1)/(c(2) +c(2)/(c(3) +c(3)/(c(4) +c(4)/....))), where c(i)=(i-1)!.
%H Stanislav Sykora, <a href="/A233589/b233589.txt">Table of n, a(n) for n = 1..20000</a>
%H S. Sykora, <a href="http://dx.doi.org/10.3247/sl4math13.001">Blazys' Expansions and Continued Fractions</a>, Stans Library, Vol.IV, 2013, DOI 10.3247/sl4math13.001
%H S. Sykora, <a href="http://oeis.org/wiki/File:BlazysExpansions.txt">PARI/GP scripts for Blazys expansions and fractions</a>, OEIS Wiki
%F Equals 0!+0!/(1!+1!/(2!+2!/(3!+3!/(4!+...)))).
%e 1.69880476767000721195269011591464043255973093664983969781741917426892...
%t RealDigits[ Fold[(#2 + #2/#1) &, 1, Reverse@ Range[0, 18]!], 10, 111][[1]] (* _Robert G. Wilson v_, May 22 2014 *)
%o (PARI) See the link.
%Y Cf. A233588.
%Y Cf. A000142 (factorials).
%Y Cf. Blazys' continued fractions: A233588, A233590, A233591 and Blazys' expansions: A233582, A233583, A233584, A233585, A233586, A233587.
%K cons,nonn
%O 1,2
%A _Stanislav Sykora_, Jan 06 2014
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