A203703 Vandermonde sequence using x^2 + xy + y^2 applied to the first n primes.

1, 19, 36309, 20948005533, 24919574917127246811, 37290617923502980706808072360699, 314561785062386659424554771537320893773619041293, 7385768555672581968376838404040832050105039776598686978378826098029

Offset: 1

Author

Clark Kimberling, Jan 05 2012

Keywords

• nonn

Comments

See A093883 for a discussion and guide to related sequences.

Programs

Mathematica

f[j_] := Prime[j]; z = 11;
u := Product[f[j]^2 + f[j] f[k] + f[k]^2, {j, 1, k - 1}]
v[n_] := Product[u, {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203703 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203704 *)