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 A090137 #15 Apr 12 2025 17:12:38 %S A090137 0,0,1,1,11,13,19,1,247,251,1013,509,1361,1363,16369,2047,65519,851, %T A090137 233,14563,209711,29959,46091,1048573,5592397,5592401,67108837, %U A090137 1342177,20648879,268435441,357913931,22369621,4294967263,4294967279 %N A090137 Numerator of the probability that the sum of n uniform picks on [0,1] is first greater than 2 (i.e., the sum of n-1 is not). %H A090137 Daniel Mondot, <a href="/A090137/b090137.txt">Table of n, a(n) for n = 1..400</a> %H A090137 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UniformSumDistribution.html">Uniform Sum Distribution</a>. %F A090137 a(n) = numerator((n-2)*(2^(n-1)-n)/n!). - _Amiram Eldar_, Apr 12 2022 %e A090137 0, 0, 1/6, 1/3, 11/40, 13/90, 19/336, ... %t A090137 a[n_] := Numerator[(n - 2)*(2^(n - 1) - n)/n!]; Array[a, 50] (* _Amiram Eldar_, Apr 12 2022 *) %Y A090137 Cf. A090138 (denominators). %K A090137 nonn,frac %O A090137 1,5 %A A090137 _Eric W. Weisstein_, Nov 22 2003