OFFSET
1,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
W. M. Boyce, On a simple optimal stopping problem, Discr. Math., 5 (1973), 297-312.
FORMULA
a(n) = B(n, n) where B(n, m) is defined in A003125. - Sean A. Irvine, Feb 02 2015
MATHEMATICA
w[a_, 0] = a; w[0, b_] = 0; w[a_, b_] := w[a, b] = Max[ (a(1 + w[a-1, b]) + b(-1 + w[a, b-1])) / (a+b), 0]; Table[w[n, n] * Binomial[2n, n], {n, 0, 40}] (* Joel B. Lewis, Aug 27 2009 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Joel B. Lewis, Aug 27 2009
Title clarified by Sean A. Irvine, Feb 02 2015
STATUS
approved