A153805 Decimal expansion of 3-e.

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, 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, 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

Offset: 0

Author

Omar E. Pol, Jan 28 2009

Keywords

• cons
• nonn

Examples

			0.2817181715409547646397125286473375...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..2000
• Index entries for transcendental numbers

Crossrefs

Cf. A001113, A052747, A098916. Essentially the same as A121239.

Programs

Mathematica

RealDigits[3 - E, 10, 150][[1]] (* Harvey P. Dale, Nov 29 2011 *)

Formula

From Amiram Eldar, Aug 06 2020: (Start)

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

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

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

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