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A226998
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The number of descents over all functions f:{1,2,...,n}->{1,2,...,n}.
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1
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0, 1, 18, 288, 5000, 97200, 2117682, 51380224, 1377495072, 40500000000, 1296871230050, 44952006426624, 1677462128818632, 67068898339975168, 2860906750488281250, 129703669268270284800, 6228632560085359165568, 315864220382241648869376, 16868630748261621128320242
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OFFSET
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1,3
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COMMENTS
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A descent is an element j in {1,2,...,n-1} such that f(j) > f(j+1).
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LINKS
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FORMULA
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a(n) = (n + 1/n -2)*n^n/2 = A062023(n) - n^n.
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MATHEMATICA
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Table[(n + 1/n -2)*n^n/2, {n, 1, 20}]
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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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