This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A090611 #21 Mar 23 2025 13:49:47
%S A090611 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 A090611 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 A090611 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 A090611 Decimal expansion of (24*e^5 - 96*e^4 + 108*e^3 - 32*e^2 + e)/24.
%C A090611 Expected number of picks from a uniform [0,1] needed to first exceed a sum of 5.
%D A090611 J. V. Uspensky, Introduction to Mathematical Probability, New York: McGraw-Hill, 1937.
%H A090611 Daniel Mondot, <a href="/A090611/b090611.txt">Table of n, a(n) for n = 2..10001</a>
%H A090611 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UniformSumDistribution.html">Uniform Sum Distribution</a>.
%H A090611 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A090611 Equals Sum_{k=0..n} (-1)^k * (n-k+1)^k * exp(n-k+1) / k! for n = 4 (Uspensky, 1937, p. 278).
%e A090611 10.66666206862241185801902737193284706860310258108475834332579319813396100412163407...
%t A090611 RealDigits[E^5 - 4*E^4 + 9*E^3/2 - 4*E^2/3 + E/24, 10, 120][[1]] (* _Amiram Eldar_, Jun 20 2023 *)
%o A090611 (PARI) exp(5)-4*exp(4)+9*exp(3)/2-4*exp(2)/3+exp(1)/24
%Y A090611 Cf. A001113, A090142, A090143, A089139, A379601, A381673, A382020, A381843, A382026, A090137, A090138, A089087.
%K A090611 nonn,cons,easy
%O A090611 2,3
%A A090611 _Ray Chandler_, Dec 07 2003
%E A090611 Offset corrected by _R. J. Mathar_, Feb 05 2009