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A367012
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a(n) = Sum_{k=0..n} k! * (n-k)^k.
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3
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1, 1, 2, 5, 18, 95, 704, 6945, 87254, 1349603, 25064700, 548782229, 13970248610, 408882114519, 13625250384488, 512421111644105, 21577659567580014, 1010231138742981515, 52263989531636074964, 2971798406660674944573, 184850941269122564302010
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OFFSET
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0,3
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LINKS
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FORMULA
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log(a(n)) ~ n*(2*log(n) - log(log(n)) - 2 - log(2) + log(2*log(n))/(2*log(n)) + 1/(8*log(n)^2)).
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MATHEMATICA
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Table[Sum[k! * (n-k)^k, {k, 0, n}], {n, 1, 20}]
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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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EXTENSIONS
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STATUS
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approved
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