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A081103
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Alternating sum of first three Stirling numbers of the first kind.
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0
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0, 1, -4, 18, -95, 584, -4123, 32969, -294992, 2922956, -31791716, 376719892, -4832017320, 66713229192, -986611705584, 15561976320144, -260804276106624, 4628322010931328, -86710491660063744, 1710290952899283456, -35427639035553292800, 768970029545198092800
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = s(n, 1)-s(n, 2)+s(n, 3), s(n, m)= signed Stirling numbers of the first kind. E.g.f. (1+x)^(-1)*(log(1+x)-log(1+x)^2/2+log(1+x)^3/6
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CROSSREFS
| Cf. A000399, A081052, A081046.
Sequence in context: A200717 A121584 A059227 * A005777 A180567 A152392
Adjacent sequences: A081100 A081101 A081102 * A081104 A081105 A081106
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 05 2003
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