cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A085640 Resultant of the polynomial x^3-1 and the Chebyshev polynomial of the first kind T_n(x).

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%I A085640 #8 Sep 23 2023 07:28:38
%S A085640 1,7,37,193,1021,5383,28393,149761,789913,4166407,21975757,115911361,
%T A085640 611375701,3224707591,17008754257,89712854017,473191396273,
%U A085640 2495853018631,13164403113973,69435783298753,366239772557101
%N A085640 Resultant of the polynomial x^3-1 and the Chebyshev polynomial of the first kind T_n(x).
%F A085640 From _Creighton Dement_, Jan 17 2009: (Start)
%F A085640 G.f.: (1+3*x+3*x^2-x^3)/(1-4*x-6*x^2-4*x^3+x^4) (conjecture).
%F A085640 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)
%o A085640 (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
%Y A085640 Cf. A086840.
%K A085640 nonn
%O A085640 1,2
%A A085640 Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
%E A085640 More terms from _David Wasserman_, Feb 08 2005