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A368064
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a(n) = Product_{i=1..n, j=1..n} (i^2 + 4*i*j + j^2).
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3
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ 2^((3+sqrt(3))*n*(n+1) + (sqrt(3)-1)/6) * 3^(3*n*(n+1) + 13/24) * n^(2*n^2 - 7/6) / (Gamma(1/3)^(1/2) * Gamma(1/4)^(1/3) * Pi^(7/12) * (1 + sqrt(3))^((6*n*(n+1) + 1)/sqrt(3) - 1/2) * exp(3*n^2)).
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MATHEMATICA
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Table[Product[i^2 + 4*i*j + j^2, {i, 1, n}, {j, 1, n}], {n, 0, 7}]
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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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