A186196 - OEIS

A186196

a(n)=(-1)^n*(-2)^C(n,2)*A001045(n+1).

1, -1, -6, 40, 704, -21504, -1409024, 178257920, 45902462976, -23433341566976, -24030926136672256, 49179307930885816320, 201512232261203141853184, -1650485975228872480767606784, -27044038098228417485446267797504

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OFFSET

0,3

COMMENTS

Hankel transform of A186195.

LINKS

Table of n, a(n) for n=0..14.

MATHEMATICA

f[k_] := (2^(k - 1)) (-1)^(k + 1)

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

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

Table[a[n], {n, 1, 22}] (* A186196 signed *)

(* Clark Kimberling, Dec 30 2011 *)

CROSSREFS

Sequence in context: A374867 A196449 A281262 * A196478 A001367 A096671

Adjacent sequences: A186193 A186194 A186195 * A186197 A186198 A186199

KEYWORD

sign,easy

AUTHOR

Paul Barry, Feb 14 2011

STATUS

approved