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Search: id:A085640
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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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+0
2
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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
(list; graph; listen)
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OFFSET
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1,2
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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). [From Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jan 17 2009]
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PROGRAM
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(PARI) Tnmin2 = 1; Tnmin1 = x; print(polresultant(x^3 - 1, Tnmin1)); for (n = 2, 30, T = 2*x*Tnmin1 - Tnmin2; print(polresultant(x^3 - 1, T)); Tnmin2 = Tnmin1; Tnmin1 = T); (Wasserman)
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CROSSREFS
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Cf. A086840.
Sequence in context: A140476 A057651 A106925 this_sequence A069378 A117130 A002807
Adjacent sequences: A085637 A085638 A085639 this_sequence A085641 A085642 A085643
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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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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 08 2005
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