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A065982
a(n) = (n+1)*binomial(2*n,n) - 2^(2*n-1).
3
2, 10, 48, 222, 1000, 4420, 19264, 83062, 355128, 1508028, 6368032, 26765420, 112053968, 467531272, 1945009408, 8070882982, 33414977368, 138067832332, 569466322528, 2345021291332, 9642649982128, 39598183143352, 162417965373568
OFFSET
1,1
COMMENTS
Related to stable matchings.
REFERENCES
E. G. Thurber, Concerning the maximum number of stable matchings ..., Discrete Math., 248 (2002), 195-219 (see I(2n)).
LINKS
MATHEMATICA
Table[(n+1)Binomial[2n, n]-2^(2n-1), {n, 30}] (* Harvey P. Dale, Jun 30 2024 *)
PROG
(PARI) { for (n=1, 150, a=(n + 1)*binomial(2*n, n) - 2^(2*n - 1); write("b065982.txt", n, " ", a) ) } \\ Harry J. Smith, Nov 05 2009
CROSSREFS
Sequence in context: A192696 A181296 A239073 * A114693 A086853 A036918
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 12 2002
STATUS
approved