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A282529 Decimal expansion of Product_{n>=2} (1-1/n!).

%I A282529 #17 Sep 15 2023 05:53:20
%S A282529 3,9,5,3,3,8,5,6,7,3,6,7,4,4,5,5,6,6,0,3,2,3,5,6,2,0,0,4,3,1,1,8,0,6,
%T A282529 1,3,0,2,6,6,5,6,4,8,6,7,5,8,7,2,0,1,3,2,5,0,1,1,9,7,3,9,0,1,5,1,7,4,
%U A282529 1,6,2,0,3,8,4,7,7,5,6,1,2,6,7,0,9,2,0,0,7,7,9,3,8,9,1,0,2,2,7,0,1,1,5,8,6,8,5,4,9,6,4,0,8,4,6,7
%N A282529 Decimal expansion of Product_{n>=2} (1-1/n!).
%C A282529 Conjectured to be irrational, transcendental and normal, none have been shown.
%H A282529 Lucian Craciun, <a href="/A282529/b282529.txt">Table of n, a(n) for n = 0..9900</a>
%H A282529 StackExchange, <a href="http://math.stackexchange.com/questions/2009336">Closed form for Product_{n>=2} (1-1/n!)</a>, Nov 11 2016.
%H A282529 Wolfram Alpha, <a href="http://www.wolframalpha.com/input/?i=\prod_{n%3D2}^{\infty}+(1-\frac{1}{n!})">Product_{n>=2} (1-1/n!)</a>.
%F A282529 Equals 1/A247551. - _Amiram Eldar_, Sep 15 2023
%e A282529 0.39533856736744556603235620043118061302665648675872...
%p A282529 evalf(product(1-1/n!, n = 2..infinity), 100); # _Lucian Craciun_, Feb 22 2017
%t A282529 RealDigits[Product[1-1/n!, {n, 2, 70}], 10, 100][[1]] (* _Robert G. Wilson v_, Mar 19 2014 *)
%o A282529 (PARI) prodinf(n=3, 1-1/gamma(n)) \\ _Charles R Greathouse IV_, Nov 13 2014
%Y A282529 Cf. A238695, A247551.
%K A282529 nonn,cons
%O A282529 0,1
%A A282529 _Lucian Craciun_, Feb 22 2017