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 A203690 v(n+1)/v(n), where v=A203689. 2
 5, 1480, 204811920, 44845458424326144, 38524837563190678680163123200, 274281830629678279850073754564550983680000000, 30490404582529065278831553253825833486757227887272069693440000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A093883 for a discussion and guide to related sequences. LINKS Table of n, a(n) for n=1..7. FORMULA From Vaclav Kotesovec, Nov 21 2023: (Start) a(n) ~ (n+1)!^(2*n). a(n) ~ (2*Pi)^n * n^(2*n^2 + 3*n) / exp(2*n^2 - 13/6). (End) MATHEMATICA f[j_] := j!; z = 8; u[n_] := Product[f[j]^2 + f[k]^2, {j, 1, k - 1}] v[n_] := Product[u[n], {k, 2, n}] Table[v[n], {n, 1, z}] (* A203689 *) Table[v[n + 1]/v[n], {n, 1, z}] (* A203690 *) Table[Product[k!^2 + (n+1)!^2, {k, 1, n}], {n, 1, 10}] (* Vaclav Kotesovec, Nov 21 2023 *) CROSSREFS Sequence in context: A332536 A172920 A062598 * A304425 A316280 A305959 Adjacent sequences: A203687 A203688 A203689 * A203691 A203692 A203693 KEYWORD nonn AUTHOR Clark Kimberling, Jan 04 2012 STATUS approved

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Last modified February 29 17:50 EST 2024. Contains 370428 sequences. (Running on oeis4.)