A085605
Resultant of the polynomial x^n-1 and the Chebyshev polynomial of the second kind U_n(x).
Original entry on oeis.org
2, 9, 448, 21025, 25566816, 13167792001, 374186407100416, 2185268430227969025, 1406243047344105338882560, 95493100905174500882676787201, 1357963145594500259453732165378899968, 1093895614508277127564115719556899066650625
Offset: 1
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
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Table[Resultant[x^n - 1, ChebyshevU[n, x], x], {n, 1, 15}] (* Vaclav Kotesovec, Apr 15 2020 *)
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a(n)={polresultant(x^n-1, polchebyshev(n, 2, x))} \\ Andrew Howroyd, Jul 10 2018
A085640
Resultant of the polynomial x^3-1 and the Chebyshev polynomial of the first kind T_n(x).
Original entry on oeis.org
1, 7, 37, 193, 1021, 5383, 28393, 149761, 789913, 4166407, 21975757, 115911361, 611375701, 3224707591, 17008754257, 89712854017, 473191396273, 2495853018631, 13164403113973, 69435783298753, 366239772557101
Offset: 1
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
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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
A085638
Resultant of the polynomial x^n-1 and the Hermite polynomial H_n(x).
Original entry on oeis.org
2, 4, -1216, 2310400, -13094125568, 41787366322733056, 609452979875950622670848, 150142808011575068721319772160000, -7129771654003819760990676428837143372103680, 114629197516562460020595757143135575237521247385419776
Offset: 1
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003
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Hnmin2 = 1; Hnmin1 = 2*x; print1(polresultant(x - 1, Hnmin1), ", "); for (n = 2, 12, H = 2*x*Hnmin1 - 2*(n - 1)*Hnmin2; print1(polresultant(x^n - 1, H), ", "); Hnmin2 = Hnmin1; Hnmin1 = H); \\ David Wasserman, Feb 08 2005
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a(n) = polresultant(x^n-1, polhermite(n)); \\ Michel Marcus, Apr 13 2020
Showing 1-3 of 3 results.