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A081047
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Difference of Stirling numbers of the first kind.
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1
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1, 0, -1, -5, -26, -154, -1044, -8028, -69264, -663696, 6999840, -80627040, -1007441280, -13575738240, -196287356160, -3031488633600, -49811492505600, -867718162483200, -15974614352793600, -309920046408806400, -6320046028584960000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| Thierry Dana-Picard and David G. Zeitoun, Sequences of definite integrals, infinite series and Stirling numbers, International Journal of Mathematical Education in Science and Technology, jun 19 2011, http://www.tandfonline.com/doi/abs/10.1080/0020739X.2011.582172
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FORMULA
| E.g.f.: (1+log(1-x))/(1-x); [From Paul Barry (pbarry(AT)wit.ie), Nov 26 2008]
a(n) = abs(s(n+1, 1))-abs(s(n+1, 2)), where s(n, m) is a (signed) Stirling number of the first kind (A008275). [corrected by Wolfdieter Lang, Jun 20 2011]
a(n) = A094645(n+2,2), n>=0. [From Wolfdieter Lang, Jun 20 2011]
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CROSSREFS
| Cf. A001705, A008275, A081046.
Sequence in context: A183161 A082029 A001705 * A057793 A090226 A094422
Adjacent sequences: A081044 A081045 A081046 * A081048 A081049 A081050
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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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