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Search: id:A147660
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| A147660 |
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Coefficient expansion of toral of inverse of low ratio (1.6081283851873882) Pisot Polynomial: a(n)=Coefficient_Expansion(1/( -1 + x^2 - x^9 - x^10 + x^11)). |
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+0
1
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| 1, 1, 2, 3, 5, 8, 13, 21, 34, 54, 87, 140, 225, 362, 582, 936, 1505, 2420, 3892, 6259, 10065, 16186, 26029, 41858, 67313, 108248, 174077, 279938, 450176, 723941, 1164190, 1872167, 3010685, 4841568, 7785863, 12520667, 20134840, 32379408
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OFFSET
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0,3
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COMMENT
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The next 1 + x^2 - x^10 - x^11 + x^12, is not Pisot, so x^11 is the limit that sequence of polynomials below the Golden mean ratio.
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FORMULA
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a(n)=Coefficient_Expansion(1/( -1 + x^2 - x^9 - x^10 + x^11)).
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MATHEMATICA
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f[x_] = -1 + x^2 - x^9 - x^10 + x^11; g[x] = ExpandAll[x^11*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]
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CROSSREFS
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Adjacent sequences: A147657 A147658 A147659 this_sequence A147661 A147662 A147663
Sequence in context: A013986 A121343 A023439 this_sequence A013987 A023440 A077373
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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), Nov 09 2008
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