A203681 Vandermonde sequence using x^2 - xy + y^2 applied to (1,2,4,...,2^(n-1)).

1, 3, 468, 66583296, 146110606331609088, 81505592725670294610465062387712, 187767859619216944607590791201095479470807659625578496, 28804175949984280950704030973074409134657825104658343024583926573114205963127095296

Offset: 1

Author

Clark Kimberling, Jan 04 2012

Keywords

• nonn

Comments

See A093883 for a discussion and guide to related sequences.

Programs

Mathematica

f[j_] := 2^(j - 1); z = 12;
u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,
  {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203681 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203682 *)