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A127688
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a(n) = (n+1)^n - n!!.
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2
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0, 1, 7, 61, 617, 7761, 117601, 2097047, 43046337, 999999055, 25937420761, 743008360293, 23298085076401, 793714773119009, 29192926024745505, 1152921504604819951, 48661191875656546561, 2185911559738662072543, 104127350297911055738281, 5242879999999999345270925
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OFFSET
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0,3
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COMMENTS
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Theorem: (n+1)^n > n!! for n>0.
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REFERENCES
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D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.15.
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LINKS
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MAPLE
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seq((n+1)^n - doublefactorial(n), n=0..10); # Georg Fischer, Apr 10 2024
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MATHEMATICA
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Table[(n+1)^n - (n)!!, {n, 0, 10}] (* Georg Fischer, Apr 10 2024 *)
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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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