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Search: id:A134874
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| A134874 |
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Expansion of 1/(1 - 137 x - 133 x^4). |
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1
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| 1, 137, 18769, 2571353, 352275494, 48261760899, 6611863739440, 905825674293229, 124098164230813075, 17001454918435590842, 2329200203203553290874, 319100548313701481849195
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OFFSET
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1,2
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COMMENT
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From characteristic polynomial of the matrix: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}.
Polynomial base is Pisot and the large positiuve root is near 1/alpha: 137.00005172368373...
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FORMULA
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a(n) =Expansion(1/(1 - 137 x - 133 x^4))
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MATHEMATICA
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mc = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}; f[x_] = CharacteristicPolynomial[mc, x]; g[x_] = Expand[x^4*f[1/x]]; Table[ SeriesCoefficient[Series[1/g[x], {x, 0, 30}], n], {n, 0, 30}]
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CROSSREFS
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Adjacent sequences: A134871 A134872 A134873 this_sequence A134875 A134876 A134877
Sequence in context: A138348 A103878 A068154 this_sequence A064104 A122703 A031964
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 29 2008
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