A203195 (n-1)-st elementary symmetric function of the first n Catalan numbers (A000108).

1, 2, 5, 27, 388, 16436, 2175432, 934036488, 1336005150480, 6496133192508960, 109111368146935714560, 6414259771390908431554560, 1334245289372299128934618629120, 991211300949703256415518451506380800

Offset: 1

Author

Clark Kimberling, Dec 30 2011

Keywords

• nonn

Crossrefs

Cf. A000108, A003046 (n-th elem. symm. func.), A014137 (1st elm. symm. func.).

Programs

Mathematica

f[k_] := (1/k) Binomial[2 k - 2, k - 1];
t[n_] := Table[f[k], {k, 1, n}]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 1, 14}]  (* A203195 *)