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

1,2

Comments

See A093883 for a discussion and guide to related sequences.

Links

Table of n, a(n) for n=1..8.

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 *)

Crossrefs

Sequence in context: A054702 A140015 A342067 * A195611 A230029 A238447

Adjacent sequences: A203678 A203679 A203680 * A203682 A203683 A203684

Keyword

nonn

Author

Clark Kimberling, Jan 04 2012

Status

approved