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 A203703 Vandermonde sequence using x^2 + xy + y^2 applied to the first n primes. 3

%I

%S 1,19,36309,20948005533,24919574917127246811,

%T 37290617923502980706808072360699,

%U 314561785062386659424554771537320893773619041293,7385768555672581968376838404040832050105039776598686978378826098029

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

%C See A093883 for a discussion and guide to related sequences.

%t f[j_] := Prime[j]; z = 11;

%t u := Product[f[j]^2 + f[j] f[k] + f[k]^2, {j, 1, k - 1}]

%t v[n_] := Product[u, {k, 2, n}]

%t Table[v[n], {n, 1, z}] (* A203703 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203704 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 05 2012

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Last modified December 5 12:42 EST 2022. Contains 358586 sequences. (Running on oeis4.)