A203195 - OEIS

%I #7 Oct 01 2016 12:15:36

%S 1,2,5,27,388,16436,2175432,934036488,1336005150480,6496133192508960,

%T 109111368146935714560,6414259771390908431554560,

%U 1334245289372299128934618629120,991211300949703256415518451506380800

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

%t f[k_] := (1/k) Binomial[2 k - 2, k - 1];

%t t[n_] := Table[f[k], {k, 1, n}]

%t a[n_] := SymmetricPolynomial[n - 1, t[n]]

%t Table[a[n], {n, 1, 14}]  (* A203195 *)

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

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 30 2011