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Search: id:A143439
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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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1
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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; listen)
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OFFSET
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1,7
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COMMENT
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Row sums are:{-2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2}.
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REFERENCES
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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
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p(x,n)=x*(x^n*(x - 1) + (-1)^n*2); t(n,m)=Coefficients(p(x,n)).
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EXAMPLE
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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}
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MATHEMATICA
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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
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Sequence in context: A108947 A152459 A097608 this_sequence A105469 A136167 A140748
Adjacent sequences: A143436 A143437 A143438 this_sequence A143440 A143441 A143442
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KEYWORD
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uned,probation,sign
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 23 2008
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