A153805 - OEIS

%I #27 May 18 2022 07:52:57

%S 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 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 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 Decimal expansion of 3-e.

%H G. C. Greubel, <a href="/A153805/b153805.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F From _Amiram Eldar_, Aug 06 2020: (Start)

%F Equals Sum_{k>=0} k/(k + 2)!.

%F Equals Sum_{k>=0} 1/(k! * (k + 2) * (k + 3)) = Sum_{k>=3} 1/A052747(k).

%F Equals Sum_{k>=2} 1/(k! * k * (k - 1)) = Sum_{k>=4} 1/A098916(k). (End)

%F 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 0.2817181715409547646397125286473375...

%t RealDigits[3 - E, 10, 150][[1]] (* _Harvey P. Dale_, Nov 29 2011 *)

%Y Cf. A001113, A052747, A098916, A121239.

%K cons,nonn

%O 0,1

%A _Omar E. Pol_, Jan 28 2009