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).

0, 0, 1, 1, 11, 13, 19, 1, 247, 251, 1013, 509, 1361, 1363, 16369, 2047, 65519, 851, 233, 14563, 209711, 29959, 46091, 1048573, 5592397, 5592401, 67108837, 1342177, 20648879, 268435441, 357913931, 22369621, 4294967263, 4294967279

Offset: 1

Author

Eric W. Weisstein, Nov 22 2003

Keywords

• nonn
• frac

Examples

			0, 0, 1/6, 1/3, 11/40, 13/90, 19/336, ...
		

Links

• Daniel Mondot, Table of n, a(n) for n = 1..400
• Eric Weisstein's World of Mathematics, Uniform Sum Distribution.

Crossrefs

Cf. A090138 (denominators).

Programs

Mathematica

a[n_] := Numerator[(n - 2)*(2^(n - 1) - n)/n!]; Array[a, 50] (* Amiram Eldar, Apr 12 2022 *)

Formula

a(n) = numerator((n-2)*(2^(n-1)-n)/n!). - Amiram Eldar, Apr 12 2022