A003126 - OEIS

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A003126

Value of an urn with n balls of type -1 and n+1 balls of type +1.
(Formerly M3501)

1, 4, 15, 58, 226, 882, 3457, 13606, 53683, 212090, 838484, 3319596, 13159676, 52220801, 207374051, 823906473, 3274464556, 13019414133, 51790661881, 206112818880, 820583696869, 3267935428368, 13017497498243, 51863262314021

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..24.

W. M. Boyce, On a simple optimal stopping problem, Discr. Math., 5 (1973), 297-312.

FORMULA

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

CROSSREFS

Cf. A003125.

Sequence in context: A307570 A164589 A017950 * A160156 A102052 A128714

Adjacent sequences: A003123 A003124 A003125 * A003127 A003128 A003129

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms and title clarified by Sean A. Irvine, Feb 02 2015

STATUS

approved