%I #12 Jun 21 2023 06:35:23
%S 1,0,6,6,6,6,6,2,0,6,8,6,2,2,4,1,1,8,5,8,0,1,9,0,2,7,3,7,1,9,3,2,8,4,
%T 7,0,6,8,6,0,3,1,0,2,5,8,1,0,8,4,7,5,8,3,4,3,3,2,5,7,9,3,1,9,8,1,3,3,
%U 9,6,1,0,0,4,1,2,1,6,3,4,0,7,5,3,2,8,7,8,2,0,4,3,9,2,5,0,5,0,4,3,7,9,5,8,7
%N Decimal expansion of (24e^5 - 96e^4 + 108e^3 - 32e^2 + e)/24.
%C Expected number of picks from a uniform [0,1] needed to first exceed a sum of 5.
%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>.
%e 10.66666206...
%t RealDigits[E^5 - 4*E^4 + 9*E^3/2 - 4*E^2/3 + E/24, 10, 120][[1]] (* _Amiram Eldar_, Jun 20 2023 *)
%Y Cf. A001113, A090142, A090143, A089139.
%K nonn,cons,easy
%O 2,3
%A _Ray Chandler_, Dec 07 2003
%E Offset corrected by _R. J. Mathar_, Feb 05 2009
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