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A231148
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Array of coefficients of numerator polynomials of the rational function p(n, x - 1/x), where p(n,x) = (x^n - 1)/(x - 1).
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1
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1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 2, -1, -2, 1, 1, 1, -1, -3, 2, 5, -2, -3, 1, 1, -1, 1, 4, -3, -8, 5, 8, -3, -4, 1, 1, 1, -1, -5, 4, 12, -8, -15, 8, 12, -4, -5, 1, 1, -1, 1, 6, -5, -17, 12, 27, -15, -27, 12, 17, -5, -6, 1, 1, 1, -1, -7, 6, 23, -17, -44
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OFFSET
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1,12
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LINKS
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EXAMPLE
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First 4 rows:
1
-1 1 1
1 -1 -1 1 1
-1 1 2 -1 -2 1 1
First 4 polynomials: 1, -1 + x + x^2, 1 - x - x^2 + x^3 + x^4
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MATHEMATICA
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z = 60; p[n_, x_] := p[x] = (x^n - 1)/(x - 1); Table[p[n, x], {n, 1, z/4}]; f1[n_, x_] := f1[n, x] = Numerator[Factor[p[n, x] /. x -> x - 1/x]]; Table[Expand[f1[n, x]], {n, 0, z/4}]
Flatten[Table[CoefficientList[f1[n, x], x], {n, 1, z/4}]]
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CROSSREFS
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KEYWORD
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tabf,sign,easy
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AUTHOR
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STATUS
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approved
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