OFFSET
3,2
COMMENTS
L(binomial(n,k)) gives the Narayana numbers, A001263.
LINKS
Peter R. W. McNamara and Bruce E. Sagan, Infinite log-concavity: developments and conjectures, arXiv:0808.1065 [math.CO], 2008-2009.
Peter R. W. McNamara and Bruce E. Sagan, Infinite log-concavity: developments and conjectures, Advances in Applied Mathematics, 44 (1) (2010), 1-15.
FORMULA
a(n,k) = binomial(n,k)^2 * binomial(n,k-1) * binomial(n,k-2) / (n*binomial(n,2)).
MATHEMATICA
a[n_, k_] := 2 * Binomial[n, k]^2 * Binomial[n, k - 1] * Binomial[n, k - 2] / ((n - 1) n^2); Table[ a[n, k], {n, 2, 11}, {k, 2, n}] // Flatten (* Robert G. Wilson v, Aug 03 2008 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Bruce E. Sagan, Jul 28 2008
EXTENSIONS
More terms from Robert G. Wilson v, Aug 03 2008
STATUS
approved