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A346079
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G.f. A(x) satisfies: A(x) = x - x^2 * A(x/(1 - x)) / (1 - x).
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1
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0, 1, 0, -1, -2, -2, 2, 17, 54, 109, 54, -796, -5000, -19499, -52252, -44617, 577554, 5071906, 27330978, 108557573, 263947354, -453137963, -11252508862, -92193933208, -545809325184, -2441788385255, -6271647457176, 22814756330975, 492197181810550, 4609129908957190
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OFFSET
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0,5
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LINKS
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FORMULA
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a(0) = 0, a(1) = 1; a(n) = -Sum_{k=0..n-2} binomial(n-2,k) * a(k).
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MATHEMATICA
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nmax = 29; A[_] = 0; Do[A[x_] = x - x^2 A[x/(1 - x)]/(1 - x) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
a[0] = 0; a[1] = 1; a[n_] := a[n] = -Sum[Binomial[n - 2, k] a[k], {k, 0, n - 2}]; Table[a[n], {n, 0, 29}]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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