A203687 Vandermonde sequence using x^2 - x*y + y^2 applied to (1,2,6,...,n!).

1, 3, 2604, 358528427712, 12031987952968690199349362688, 370754012130869137189065686833099372581714820267297996800, 84815080863788633556908198622861272366206888854108620395778065239463085651541566677024367443968000000

Offset: 1

Author

Clark Kimberling, Jan 04 2012

Keywords

• nonn
• easy

Comments

See A093883 for a discussion and guide to related sequences.

Crossrefs

Cf. A203685, A203688, A203689.

Programs

Mathematica

f[j_] := j!; z = 8;
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}]          (* A203687 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203688 *)

Extensions

Definition corrected by Georg Fischer, Nov 25 2021