A203749 - OEIS

A203749

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

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

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OFFSET

1,2

COMMENTS

See A093883 for a discussion and guide to related sequences.

LINKS

Table of n, a(n) for n=1..14.

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 *)

CROSSREFS

Sequence in context: A202109 A230171 A332957 * A093978 A101382 A000724

Adjacent sequences: A203746 A203747 A203748 * A203750 A203751 A203752

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 05 2012

STATUS

approved