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A203755 Vandermonde sequence using x^4 + y^4 applied to (0,1,1,2,2,...,floor(n/2)).

%I A203755 #7 Jan 14 2013 10:19:42
%S A203755 1,1,2,9248,1368408064,7012482928301113344,
%T A203755 5821608871192502942968054284288,
%U A203755 827078717211493220641742410981240687143117914112,60161773220249337113595772781004931116549061984924929733289475833856
%N A203755 Vandermonde sequence using x^4 + y^4 applied to (0,1,1,2,2,...,floor(n/2)).
%C A203755 See A093883 for a discussion and guide to related sequences.
%t A203755 f[j_] := Floor[j/2]; z = 16;
%t A203755 u := Product[f[j]^4 + f[k]^4, {j, 1, k - 1}]
%t A203755 v[n_] := Product[u, {k, 2, n}]
%t A203755 Table[v[n], {n, 1, z}]        (* A203755 *)
%t A203755 Table[v[n + 1]/v[n], {n, 1, z}]  (* A203756 *)
%t A203755 Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]
%t A203755 Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}]  (* A203757 *)
%t A203755 Table[Sqrt[v[2 n + 1]/(2 v[2 n])],
%t A203755   {n, 1, z}]  (* A203758 *)
%t A203755 %/%%   (* A000290 *)
%K A203755 nonn
%O A203755 1,3
%A A203755 _Clark Kimberling_, Jan 05 2012