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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
Sequence in context: A027733 A054874 A174736 * A135238 A133376 A179056
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 07 2019
STATUS
approved

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Last modified June 22 23:47 EDT 2024. Contains 373629 sequences. (Running on oeis4.)