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A080171
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a(n) = n*a(n-1) - (n-1)^2*a(n-2), a(0)=1, a(1)=1.
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1
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1, 1, 1, -1, -13, -49, 31, 1981, 14329, 2177, -1138879, -12745369, -15140069, 1638512239, 25497843007, 61319246261, -4755906736399, -96548141561599, -363409501289471, 24376817341458127, 618727176794661571, 3242543776104642191, -201522721892143624609
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OFFSET
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0,5
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COMMENTS
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a(n) is the determinant of the n X n tridiagonal matrix M with m(i,j) = min(i,j).
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LINKS
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FORMULA
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E.g.f.: e^(atan((-1+2z)/sqrt(3))/sqrt(3)) * e^(Pi/(6*sqrt(3))) / sqrt(1 - z + z^2).
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MATHEMATICA
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c=CoefficientList[Series[Exp[ArcTan[(-1+2z)/Sqrt[3]]/Sqrt[3]]*Exp[Pi/(6*Sqrt[3])]/Sqrt[1 - z + z^2], {z, 0, 25}], z]; For[n=0, n<26, n++; Print[c[[n]]*(n-1)! ]]
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Feb 06 2003
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STATUS
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approved
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