login
Decimal expansion of e^2 - e.
7

%I #18 Oct 02 2022 23:14:06

%S 4,6,7,0,7,7,4,2,7,0,4,7,1,6,0,4,9,9,1,8,7,0,1,3,9,9,8,9,2,2,2,3,4,5,

%T 3,1,5,4,2,3,0,6,8,4,7,6,8,5,1,8,8,7,7,4,9,1,2,0,1,6,0,1,9,4,7,9,8,4,

%U 9,7,1,6,5,7,2,5,5,1,0,1,6,8,8,1,2,9,3,0,3,0,6,5,5,3,9,5,5,3,6,7,3,4,6,2,8

%N Decimal expansion of e^2 - e.

%C Expected number of picks from a uniform [0,1] needed to first exceed a sum of 2.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/UniformSumDistribution.html">Uniform Sum Distribution</a>

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

%F Equals (sum_{n>0}(sum_{k>0} n/(n!*k!))). - _Fredrik Johansson_, Apr 21 2006

%e =4.670774270471604991870139989222345315423068476851887749120160194798497165725…

%t RealDigits[N[Integrate[E, {x, 1, E}], 100]][[1]] (* _Arkadiusz Wesolowski_, May 30 2013 *)

%t RealDigits[E^2 - E, 10, 111][[1]] (* _Robert G. Wilson v_, Nov 05 2013 *)

%o (PARI) exp(2)-exp(1) \\ _Charles R Greathouse IV_, Oct 02 2022

%Y Cf. A001113, A072334, A090143, A089139, A090611.

%K nonn,cons,easy

%O 1,1

%A _Eric W. Weisstein_, Nov 22 2003