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A203195 (n-1)-st elementary symmetric function of the first n Catalan numbers (A000108). 1
1, 2, 5, 27, 388, 16436, 2175432, 934036488, 1336005150480, 6496133192508960, 109111368146935714560, 6414259771390908431554560, 1334245289372299128934618629120, 991211300949703256415518451506380800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..14.

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 *)

CROSSREFS

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

Sequence in context: A265266 A097565 A079716 * A058182 A057438 A002795

Adjacent sequences:  A203192 A203193 A203194 * A203196 A203197 A203198

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 30 2011

STATUS

approved

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Last modified November 21 11:01 EST 2018. Contains 317447 sequences. (Running on oeis4.)