login
v(n+1)/v(n), where v=A203748.
2

%I #7 Jan 09 2013 03:54:49

%S 1,3,196,2352,549081,14825187,7573176576,363512475648,326470872935025,

%T 24485315470126875,34169385402567926784,3690293623477336092672,

%U 7392237545597804070571449,1086658919202877198374003003

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

%C See A093883 for a discussion and guide to related sequences.

%t f[j_] := Floor[j/2]; z = 15;

%t u := Product[f[j]^2 + f[j] f[k] + f[k]^2, {j, 1, k - 1}]

%t v[n_] := Product[u, {k, 2, n}]

%t Table[v[n], {n, 1, z}] (* A203748 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203749 *)

%t Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]

%t Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}] (* A203750 *)

%t Table[Sqrt[v[2 n + 1]/(3 v[2 n])],

%t {n, 1, z}] (* A203751 *)

%t %/%% (* A000027 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 05 2012