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A178922
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a(n) = (n+1)^n - n^(n-1) for n > 0, a(0) = 1.
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6
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1, 1, 7, 55, 561, 7151, 109873, 1979503, 40949569, 956953279, 24937424601, 717070946087, 22555076751793, 770416688131663, 28399211252136481, 1123728578581456351, 47508270371060021505, 2137250367863029663487, 101941438738172545000873, 5138752649702088758467159
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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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E.g.f.: W(-x) - W(-x)/(x*(1+W(-x))) where W is the Lambert W function. - Robert Israel, Oct 19 2015
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MAPLE
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a:= n-> (f-> f(n+1)-f(n))(n-> `if`(n=0, 0, n^(n-1))):
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MATHEMATICA
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Table[(n+1)^n-n^(n-1), {n, 25}]
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PROG
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(PARI) vector(100, n, (n+1)^n - n^(n-1)) \\ Altug Alkan, Oct 19 2015
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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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a(0)=1 prepended and definition adapted by Alois P. Heinz, Feb 26 2020
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STATUS
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approved
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