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Search: id:A147602
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| A147602 |
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Symmetrical polynomial expansion as triangular sequence based on polynomials: {1, x - 1, x^2 - x - 1, x^3 - x - 1, x^4 - x^3 - 1, x^5 - x^4 - x^3 + x^2 - 1}. |
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+0
1
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| 1, -1, 2, -1, -1, 0, 3, 0, -1, -1, -1, 1, 3, 1, -1, -1, -1, 1, 0, -1, 3, -1, 0, 1, -1, -1, 1, 2, -3, -1, 5, -1, -3, 2, 1, -1
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row sums are:{1,0,1,1,1,1,...}. This result is the Toral inverse polynomial doubling as a triangular sequence of coefficients.
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EXAMPLE
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{1}, {-1, 2, -1}, {-1, 0, 3, 0, -1}, {-1, -1, 1, 3, 1, -1, -1}, {-1, 1, 0, -1, 3, -1, 0, 1, -1}, {-1, 1, 2, -3, -1, 5, -1, -3, 2, 1, -1}
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MATHEMATICA
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a0 = {1, x - 1, x^2 - x - 1, x^3 - x - 1, x^4 - x^3 - 1, x^5 - x^4 - x^3 + x^2 - 1}; b0=Table[CoefficientList[ExpandAll[a0[[n]]*x^(n - 1)(a0[[n]] /. x -> 1/x)], x], {n, 1, 6}]; TableForm[b0]; Flatten[b0]
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CROSSREFS
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Sequence in context: A051628 A163540 A127967 this_sequence A114206 A073202 A055212
Adjacent sequences: A147599 A147600 A147601 this_sequence A147603 A147604 A147605
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KEYWORD
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sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 08 2008
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