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A103996
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Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.
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2
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1, -1, 2, -9, 74, -955, 17744, -448077, 14751974, -613569711, 31452344252, -1947832408225, 143356013568338, -12366684481981635, 1235842203066704648, -141628365906835323573, 18449654196553852968254
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ (-1)^n * c * n^(2*n+4/3) / (2^n * exp(2*n)), where c = 6.48036478570177035603430551468143689346603193431525230833621534239220049... . - Vaclav Kotesovec, May 06 2015
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MATHEMATICA
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nmax = 30; aa = ConstantArray[0, nmax+1]; aa[[1]] = 1; Do[aa[[n+1]]=-Sum[Binomial[n+1, k]*aa[[k+1]], {k, 0, n-1}], {n, 1, nmax}]; aa (* Vaclav Kotesovec, May 06 2015 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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