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Search: id:A097600
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| A097600 |
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A Binet like formula using the Akiyama-Thurston tile roots for a Minimal Pisot theta0 sequence. |
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+0
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| 1, 0, 1, 2, 2, 3, 4, 5, 7, 10, 13, 18, 23, 31, 41, 55, 73, 97, 129, 170, 226, 299, 397, 526, 696, 923, 1223, 1620, 2146, 2843, 3766, 4989, 6610, 8756, 11599, 15366, 20356, 26966, 35723, 47323, 62689, 83046, 110013, 145736, 193059, 255749, 338796
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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r1=-0.662358978622373051`-0.562279512062301289` I r2=-0.662358978622373051`+0.562279512062301289` I r3=1.32471795724474605` a(n) = (r3^n-((r2^n)+(r2^(5*n))))/(r3-r2-r2^5)
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MATHEMATICA
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NSolve[x^3-x-1==0, x] r1=-0.662358978622373051`-0.562279512062301289` I r2=-0.662358978622373051`+0.562279512062301289` I r3=1.32471795724474605` (* Binet like formula for the Minimal Pisot*) f[n_]=(r3^n-((r2^n)+(r2^(5*n))))/(r3-r2-r2^5) a=Table[Floor[Re[f[n]]], {n, 1, 50}]
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CROSSREFS
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Cf. A001644.
Adjacent sequences: A097597 A097598 A097599 this_sequence A097601 A097602 A097603
Sequence in context: A064324 A032277 A133498 this_sequence A018128 A032189 A034395
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 20 2004
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