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Search: id:A133297
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| A133297 |
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a(n) = n!*Sum_{k=1..n} (-1)^(k+1)*n^(n-k-1)/(n-k)!. |
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+0
1
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| 0, 1, 1, 5, 34, 329, 4056, 60997, 1082320, 22137201, 512801920, 13269953861, 379400765184, 11877265764025, 404067857880064, 14843708906336325, 585606019079612416, 24693567694861202273, 1108343071153648926720
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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E.g.f.: ln(1-LambertW(-x)).
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MATHEMATICA
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Table[n!*Sum[(-1)^(k + 1)*n^(n - k - 1)/(n - k)!, {k, 1, n}], {n, 0, 20}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 19 2007
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CROSSREFS
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Cf. A001865.
Adjacent sequences: A133294 A133295 A133296 this_sequence A133298 A133299 A133300
Sequence in context: A121323 A068475 A097817 this_sequence A054931 A130607 A086345
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Oct 17 2007
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 19 2007
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