A203756 v(n+1)/v(n), where v=A203755.

1, 2, 4624, 147968, 5124555396, 830177974152, 142070471498727424, 72740081407348441088, 38931932500357955277610000, 48664915625447444097012500000, 63249728823972809508391754919837696

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_] := Floor[j/2]; z = 16;
u := Product[f[j]^4 + f[k]^4, {j, 1, k - 1}]
v[n_] := Product[u, {k, 2, n}]
Table[v[n], {n, 1, z}]        (* A203755 *)
Table[v[n + 1]/v[n], {n, 1, z}]  (* A203756 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]
Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}]  (* A203757 *)
Table[Sqrt[v[2 n + 1]/(2 v[2 n])],
  {n, 1, z}]  (* A203758 *)
%/%%   (* A000290 *)