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A085640
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Resultant of the polynomial x^3-1 and the Chebyshev polynomial of the first kind T_n(x).
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1
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1, 7, 37, 193, 1021, 5383, 28393, 149761, 789913, 4166407, 21975757, 115911361, 611375701, 3224707591, 17008754257, 89712854017, 473191396273, 2495853018631, 13164403113973, 69435783298753, 366239772557101
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f.: (1+3*x+3*x^2-x^3)/(1-4*x-6*x^2-4*x^3+x^4) (conjecture).
Generating floretion C*F with C = 0.5('k + k' - 'j - j' - ki - 2ii - ik - ij - ji) and F = .5('k + ki + 'j + ji). (End)
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PROG
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(PARI) Tnmin2 = 1; Tnmin1 = x; print1(polresultant(x^3 - 1, Tnmin1), ", "); for (n = 2, 30, T = 2*x*Tnmin1 - Tnmin2; print1(polresultant(x^3 - 1, T), ", "); Tnmin2 = Tnmin1; Tnmin1 = T); \\ David Wasserman, Feb 08 2005
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
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EXTENSIONS
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STATUS
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approved
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