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A153805 Decimal expansion of 3-e.

%I A153805 #29 Jul 02 2025 10:42:49
%S A153805 2,8,1,7,1,8,1,7,1,5,4,0,9,5,4,7,6,4,6,3,9,7,1,2,5,2,8,6,4,7,3,3,7,5,
%T A153805 0,2,2,4,2,7,5,2,9,0,6,3,0,0,0,4,0,4,2,5,0,3,3,0,3,2,3,7,2,2,7,5,9,2,
%U A153805 3,3,6,9,6,4,6,4,5,2,4,0,5,4,2,8,6,1,7,8,2,1,4,7,4,8,3,3,5,7,2,5,7,2,5,3
%N A153805 Decimal expansion of 3-e.
%H A153805 G. C. Greubel, <a href="/A153805/b153805.txt">Table of n, a(n) for n = 0..2000</a>
%H A153805 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A153805 From _Amiram Eldar_, Aug 06 2020: (Start)
%F A153805 Equals Sum_{k>=0} k/(k + 2)!.
%F A153805 Equals Sum_{k>=0} 1/(k! * (k + 2) * (k + 3)) = Sum_{k>=3} 1/A052747(k).
%F A153805 Equals Sum_{k>=2} 1/(k! * k * (k - 1)) = Sum_{k>=4} 1/A098916(k). (End)
%F A153805 Area between log(x) and log(x)^2, i.e., Integral_{x=1..exp(1)} (log(x) - log(x)^2) dx. - _Martin Renner_, May 17 2022
%e A153805 0.2817181715409547646397125286473375...
%t A153805 RealDigits[3 - E, 10, 150][[1]] (* _Harvey P. Dale_, Nov 29 2011 *)
%Y A153805 Cf. A001113, A052747, A098916. Essentially the same as A121239.
%K A153805 cons,nonn
%O A153805 0,1
%A A153805 _Omar E. Pol_, Jan 28 2009