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A143439
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Coefficient triangle sequence of polynomials: p(x,n)=x*(x^n*(x - 1) + (-1)^n*2).
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0
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-1, -1, 0, 1, 1, 0, -2, -1, 1, 0, 2, 0, -1, 1, 0, -2, 0, 0, -1, 1, 0, 2, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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COMMENTS
| Row sums are:{-2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2}.
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REFERENCES
| Eriko Hironaka,Salem-Boyd sequences and Hopf plumbing, Osaka J. Math. Volume 43, Number 3 (2006), 497-516. http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.ojm/1159189999
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FORMULA
| p(x,n)=x*(x^n*(x - 1) + (-1)^n*2); t(n,m)=Coefficients(p(x,n)).
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EXAMPLE
| {-1, -1},
{0, 1, 1},
{0, -2, -1, 1},
{0, 2, 0, -1, 1},
{0, -2, 0, 0, -1, 1},
{0, 2, 0, 0, 0, -1, 1},
{0, -2, 0, 0, 0, 0, -1, 1},
{0, 2, 0, 0, 0, 0, 0, -1, 1},
{0, -2, 0, 0, 0, 0, 0, 0, -1, 1},
{0, 2, 0, 0, 0,0, 0, 0, 0, -1, 1},
{0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1},
{0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1}
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MATHEMATICA
| p[x_, n_] = x*(x^n*(x - 1) + (-1)^n*2); Table[CoefficientList[p[x, n], x], {n, -1, 10}]; Flatten[%]
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CROSSREFS
| Sequence in context: A097608 A168261 A180997 * A105469 A136167 A140748
Adjacent sequences: A143436 A143437 A143438 * A143440 A143441 A143442
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KEYWORD
| uned,sign
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 23 2008
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