A203705 Vandermonde sequence using x^2 - xy + y^2 applied to the first n primes.

1, 7, 2527, 142211979, 12024567922965507, 591714730355757080726211831, 100332562540332311330806684368580850136063, 20912386069949549167880131978888122129614315047176626470563

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}]          (* A203705 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203706 *)