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A260122
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a(n) = floor( Product_{k = 1..n} k^(k/2) ).
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2
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1, 2, 10, 166, 9295, 2007754, 1822022612, 7463004618900, 146894319913813741, 14689431991381374106820, 7846297508164921345697431897, 23428918818620324499511000487089219, 407740674993626332726840969430118771134776
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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) ~ sqrt(A)*n^(n*(n+1)/4+1/24)/exp(n^2/8), where A is the Glaisher-Kinkelin constant (A074962). - Ilya Gutkovskiy, Dec 27 2016
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MATHEMATICA
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Table[Floor[Sqrt[Hyperfactorial[n]]], {n, 1, 12}]
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PROG
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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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