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A203195
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(n-1)-st elementary symmetric function of the first n Catalan numbers (A000108).
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1
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1, 2, 5, 27, 388, 16436, 2175432, 934036488, 1336005150480, 6496133192508960, 109111368146935714560, 6414259771390908431554560, 1334245289372299128934618629120, 991211300949703256415518451506380800
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..14.
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A000108, A003046 (n-th elem. symm. func.), A014137 (1st elm. symm. func.).
Sequence in context: A097565 A079716 A322151 * A333120 A058182 A057438
Adjacent sequences: A203192 A203193 A203194 * A203196 A203197 A203198
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Dec 30 2011
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STATUS
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approved
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