A203753 v(n+1)/v(n), where v=A203752.

1, 1, 36, 144, 21609, 194481, 65804544, 1052872704, 633623960025, 15840599000625, 14897346862777344, 536304487059984384, 726332080998489123249, 35590271968925967039201, 65608418035212856848285696

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 = 20;
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}]         (* A203752 *)
Table[v[n + 1]/v[n], {n, 1, z}]    (* A203753 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]  (* A203754 *)