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 A089139 #21 Mar 23 2025 13:49:32
%S A089139 8,6,6,6,6,0,4,4,9,0,0,3,2,6,9,5,4,3,7,2,2,5,4,7,9,2,4,8,3,7,3,6,2,9,
%T A089139 9,2,1,8,9,4,7,7,0,1,4,8,4,3,8,6,5,3,0,1,1,7,0,2,8,8,5,6,4,3,2,1,4,9,
%U A089139 2,5,9,5,2,7,5,9,1,3,9,2,1,5,7,3,6,8,8,3,6,8,8,2,5,6,3,9,6,8,8,7,9,6,6,2,2
%N A089139 Decimal expansion of e^4 - 3*e^3 + 2*e^2 - e/6.
%C A089139 Expected number of picks from a uniform [0,1] needed to first exceed a sum of 4.
%D A089139 J. V. Uspensky, Introduction to Mathematical Probability, New York: McGraw-Hill, 1937.
%H A089139 Daniel Mondot, <a href="/A089139/b089139.txt">Table of n, a(n) for n = 1..10000</a>
%H A089139 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UniformSumDistribution.html">Uniform Sum Distribution</a>
%H A089139 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A089139 Equals Sum_{k=0..n} (-1)^k * (n-k+1)^k * exp(n-k+1) / k! for n = 3 (Uspensky, 1937, p. 278).
%e A089139 8.66660449003269543722547924837362992189477014843865301170288564321492595275913921...
%t A089139 RealDigits[ E^4 - 3E^3 + 2E^2 - E/6, 10, 111][[1]] (* _Robert G. Wilson v_, Dec 05 2003 *)
%o A089139 (PARI) subst(x^4-3*x^3+2*x^2-x/6, x, exp(1)) \\ _Charles R Greathouse IV_, Dec 06 2016
%Y A089139 Cf. A001113, A090142, A090143, A090611, A379601, A381673, A382020, A381843, A382026, A090137, A090138, A089087.
%K A089139 nonn,cons,easy
%O A089139 1,1
%A A089139 Brian Dunfield (brian.dunfield(AT)sympatico.ca), Dec 05 2003
%E A089139 Edited and extended by _Robert G. Wilson v_ and _Ray Chandler_, Dec 07 2003