A203194 (n-1)-st elementary symmetric function of the first n terms of (1,2,6,20,70,252,...)=A000984.

1, 3, 20, 412, 29080, 7344960, 6790976640, 23310543674880, 300020122552550400, 14587151144134593024000, 2695072097623041659787264000, 1901191652075515716657381408768000, 5141119908014521906432306538772430848000

Offset

1,2

Links

Table of n, a(n) for n=1..13.

Mathematica

f[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}]  (* A203194 *)

Crossrefs

Cf. A000984.

Sequence in context: A203519 A003150 A326869 * A322455 A138897 A365365

Adjacent sequences: A203191 A203192 A203193 * A203195 A203196 A203197

Keyword

nonn

Author

Clark Kimberling, Dec 30 2011

Status

approved