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 A203696 v(n+1)/v(n), where v=A203695. 2
 10, 1665, 1497224, 4485885300, 34184139841800, 557745681594010000, 17295475176752223859200, 934164847784800073360250000, 82223581117536608232019062500000, 11191248877703366469751902789287961600 (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..10. FORMULA a(n) ~ (1 + sqrt(2))^((2*n+3)/sqrt(2)) * exp(Pi*(2*n+3)/(2*sqrt(2)) - 4*n) * n^(4*n) / 2^(n-1). - Vaclav Kotesovec, Nov 21 2023 MATHEMATICA f[j_] := j (j + 1)/2; z = 11; 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}] (* A203695 *) Table[v[n + 1]/v[n], {n, 1, z}] (* A203696 *) Table[Product[k^2*(k+1)^2/4 + (n+1)^2*(n+2)^2/4, {k, 1, n}], {n, 1, 10}] (* Vaclav Kotesovec, Nov 21 2023 *) CROSSREFS Sequence in context: A160236 A204466 A117523 * A203530 A232594 A194793 Adjacent sequences: A203693 A203694 A203695 * A203697 A203698 A203699 KEYWORD nonn AUTHOR Clark Kimberling, Jan 04 2012 STATUS approved

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Last modified July 18 21:02 EDT 2024. Contains 374388 sequences. (Running on oeis4.)