A203764 v(n+1)/v(n), where v=A203763.

1, 9, 36, 2401, 21609, 4112784, 65804544, 25344958401, 633623960025, 413815190632704, 14897346862777344, 14823103693846716801, 726332080998489123249, 1025131531800200888254464, 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 + 1)/2]; z = 16;
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}]          (* A203763 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203764 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, 20}]  (* A203765 *)