A203707 Vandermonde sequence using x^2 + y^2 applied to the first n primes.

1, 13, 12818, 2915787368, 1176009940198600000, 444153735961772806005712000000, 772881455545619566045147078787806753280000000, 2742931117339129483975618385974064131651632338639360000000000000

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[k]^2, {j, 1, k - 1}]
v[n_] := Product[u, {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203707 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203708 *)