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A202945 v(n+1)/v(n), where v=A203773. 1
1, 2, 100, 800, 152100, 2737800, 1156000000, 36992000000, 27619018944400, 1380950947220000, 1606635342973440000, 115677744694087680000, 193495923191341225000000, 18962600472751440050000000 (list; graph; refs; listen; history; text; internal format)
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 = 20;

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

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

Table[v[n], {n, 1, z}]         (* A203773 *)

Table[v[n + 1]/v[n], {n, 1, z}]  (* A202945 *)

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

Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}]  (* A203774 *)

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

   {n, 1, z}]  (* A203775 *)

%/%%          (* A000027 *)

CROSSREFS

Sequence in context: A276386 A333023 A171396 * A230816 A174646 A092699

Adjacent sequences:  A202942 A202943 A202944 * A202946 A202947 A202948

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 05 2012

STATUS

approved

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Last modified June 21 19:59 EDT 2021. Contains 345365 sequences. (Running on oeis4.)