A203749 v(n+1)/v(n), where v=A203748.

1, 3, 196, 2352, 549081, 14825187, 7573176576, 363512475648, 326470872935025, 24485315470126875, 34169385402567926784, 3690293623477336092672, 7392237545597804070571449, 1086658919202877198374003003

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 = 15;
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}]          (* A203748 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203749 *)
Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]
Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}]  (* A203750 *)
Table[Sqrt[v[2 n + 1]/(3 v[2 n])],
{n, 1, z}]  (* A203751 *)
%/%%  (* A000027 *)