cp's OEIS Frontend

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.

A090138 Denominator 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).

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%I A090138 #15 Apr 12 2025 17:12:51
%S A090138 1,1,6,3,40,90,336,56,51840,226800,4435200,11975040,188697600,
%T A090138 1210809600,100590336000,93405312000,23712495206400,2598365952000,
%U A090138 6360528125952,3754478407680000,537799391281152000,802857662698291200
%N A090138 Denominator 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 A090138 Daniel Mondot, <a href="/A090138/b090138.txt">Table of n, a(n) for n = 1..400</a>
%H A090138 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UniformSumDistribution.html">Uniform Sum Distribution</a>.
%F A090138 a(n) = denominator((n-2)*(2^(n-1)-n)/n!). - _Amiram Eldar_, Apr 12 2022
%e A090138 0, 0, 1/6, 1/3, 11/40, 13/90, 19/336, ...
%t A090138 a[n_] := Denominator[(n - 2)*(2^(n - 1) - n)/n!]; Array[a, 50] (* _Amiram Eldar_, Apr 12 2022 *)
%Y A090138 Cf. A090137 (numerators).
%K A090138 nonn,frac
%O A090138 1,3
%A A090138 _Eric W. Weisstein_, Nov 22 2003