A003126 - OEIS

%I M3501 #17 Jan 14 2020 05:36:55

%S 1,4,15,58,226,882,3457,13606,53683,212090,838484,3319596,13159676,

%T 52220801,207374051,823906473,3274464556,13019414133,51790661881,

%U 206112818880,820583696869,3267935428368,13017497498243,51863262314021

%N Value of an urn with n balls of type -1 and n+1 balls of type +1.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H W. M. Boyce, <a href="http://dx.doi.org/10.1016/0012-365X(73)90123-4">On a simple optimal stopping problem</a>, Discr. Math., 5 (1973), 297-312.

%F a(n) = B(n, n + 1) where B(n, m) is defined in A003125.

%Y Cf. A003125.

%K nonn

%O 1,2

%A _N. J. A. Sloane_

%E More terms and title clarified by _Sean A. Irvine_, Feb 02 2015