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A340562
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a(n) = Product_{1<=j,k<=n-1} (4*sin(j*Pi/n)^2 + 4*sin(k*Pi/n)^2).
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6
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1, 8, 1296, 2654208, 62500000000, 16314248724480000, 46246966018211028668416, 1405124434459231021756179283968, 453518708737693704370173592484540645376, 1545285638496177620571506637671497728000000000000
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) ~ Gamma(1/4)^4 * exp(4*G*n^2/Pi) / (16 * Pi^3 * n^2), where G is Catalan's constant A006752. - Vaclav Kotesovec, Feb 14 2021
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MATHEMATICA
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Table[Product[4*Sin[j*Pi/n]^2 + 4*Sin[k*Pi/n]^2, {k, 1, n-1}, {j, 1, n-1}], {n, 1, 12}] // Round (* Vaclav Kotesovec, Feb 14 2021 *)
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PROG
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(PARI) default(realprecision, 120);
{a(n) = round(prod(j=1, n-1, prod(k=1, n-1, 4*sin(j*Pi/n)^2+4*sin(k*Pi/n)^2)))}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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