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A062817
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a(n) = Sum_{i=0..n} i^(n - i)*(n - i)^i.
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10
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0, 1, 4, 22, 152, 1251, 11980, 130908, 1607488, 21915525, 328477396, 5368649634, 95026828136, 1810930007495, 36968511612124, 804857864647544, 18615565047797520, 455834881650397833, 11780900281221329892
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OFFSET
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1,3
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LINKS
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FORMULA
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MATHEMATICA
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Table[Sum[i^(n-i)*(n-i)^i, {i, 0, n}], {n, 20}] (* Harvey P. Dale, Jan 14 2017 *)
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PROG
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(PARI) for(n=1, 25, print1(sum(k=0, n, k^(n-k)*(n-k)^k), ", ")) \\ G. C. Greubel, Jan 25 2017
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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