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Search: id:A142720
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| A142720 |
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A triangle sequence of coefficients of odd sum polynomials: p(x,n)=x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1. |
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1
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| -1, -1, -1, -1, -1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums are:
{-1, -2, -3, -4, -5, -6, -7, -8, -9, -10}.
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FORMULA
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p(x,n)=x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1; t(n,m)=coefficients(p)x,n).
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EXAMPLE
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{-1},
{-1, -1},
{-1, -1, 0, -1},
{-1, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1,0, -1, 0, -1, 0, -1, 0, -1}
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MATHEMATICA
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p[x_, n_] := x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1; Table[Expand[p[x, n]], {n, 1, 10}]; Table[CoefficientList[p[x, n], x], {n, 1, 10}]; Flatten[%] b = Table[Apply[Plus, Re[CoefficientList[p[x, n], x]]], {n, 1, 10}]
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CROSSREFS
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Sequence in context: A011750 A010055 A076699 this_sequence A091862 A167020 A163812
Adjacent sequences: A142717 A142718 A142719 this_sequence A142721 A142722 A142723
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KEYWORD
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uned,sign
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 27 2008
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