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A255268
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a(n) = Product_{k=1..n} k!^n.
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8
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1, 4, 1728, 6879707136, 49302469038676377600000, 237376313799769806328950291431424000000000000, 487929826521303413461947888047619993419888153407795494912000000000000000000000
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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) ~ exp(1/12 + n/12 - n^2 - 3*n^3/4) * n^(5*n/12 + n^2 + n^3/2) * 2^(n/2 + n^2/2) * Pi^(n/2 + n^2/2) / A^n, where A = 1.28242712910062263687534256886979... is the Glaisher-Kinkelin constant (see A074962).
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MATHEMATICA
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Table[Product[k!, {k, 1, n}]^n, {n, 1, 10}]
Table[BarnesG[n+2]^n, {n, 1, 10}]
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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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