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 A324567 a(n) = Product_{i=0..n, j=0..n} (binomial(2*i, j) + binomial(2*j, i)). 2
 2, 8, 2400, 1247616000, 47391629172572160000, 5433273487668074503912921497600000000, 84476763043100284572577776893541858819157327099409203200000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS FORMULA a(n) ~ c * d^n * exp(2*n^3/3 + 9*n^2/4) / (2^(n^2) * Pi^(n^2/2) * n^(n^2/2 + 5*n/6 - alfa)), where d = 2.631186542501652610455988727776308850706336468478433795517960445788077147... alfa = 0.094637735750903047180156176044316953484876143616883847755312100285099... c = 0.121223472988717836553569221604723373713338356783096... MATHEMATICA Table[Product[Binomial[2*i, j] + Binomial[2*j, i], {i, 0, n}, {j, 0, n}], {n, 0, 7}] CROSSREFS Cf. A000984, A007685, A324566, A324568. Sequence in context: A027733 A054874 A174736 * A135238 A133376 A179056 Adjacent sequences:  A324564 A324565 A324566 * A324568 A324569 A324570 KEYWORD nonn AUTHOR Vaclav Kotesovec, Mar 07 2019 STATUS approved

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Last modified April 19 17:46 EDT 2021. Contains 343117 sequences. (Running on oeis4.)