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

Offset: 0

Author

Paul Barry, Feb 14 2011

Keywords

• sign
• easy

Comments

Hankel transform of A186195.

Programs

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 *)