login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A054375 Table of resultants for Chebyshev polynomials T_k(x) and T_n(x). 1

%I #10 Jan 11 2013 15:47:47

%S 0,-1,0,0,-4,0,1,16,64,0,0,-16,0,4096,0,-1,0,-4096,65536,-1048576,0,0,

%T -64,0,262144,0,-1073741824,0,1,256,16384,16777216,268435456,

%U 68719476736,4398046511104,0,0,-256,0,16777216,0,-4398046511104,0,72057594037927936

%N Table of resultants for Chebyshev polynomials T_k(x) and T_n(x).

%H T. D. Noe, <a href="/A054375/b054375.txt">Rows n=1..35 of triangle, flattened</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ChebyshevPolynomialoftheFirstKind.html">Chebyshev Polynomial of the First Kind.</a>

%e {0}, {-1, 0}, {0, -4, 0}, {1, 16, 64, 0}, {0, -16, 0, 4096, 0}, ...

%t Flatten[Table[Resultant[ChebyshevT[n, x], ChebyshevT[k, x], x], {k, 20}, {n, k}]]

%K sign,easy,nice,tabl

%O 1,5

%A _Eric W. Weisstein_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)