A054375 Table of resultants for Chebyshev polynomials T_k(x) and T_n(x).

0, -1, 0, 0, -4, 0, 1, 16, 64, 0, 0, -16, 0, 4096, 0, -1, 0, -4096, 65536, -1048576, 0, 0, -64, 0, 262144, 0, -1073741824, 0, 1, 256, 16384, 16777216, 268435456, 68719476736, 4398046511104, 0, 0, -256, 0, 16777216, 0, -4398046511104, 0, 72057594037927936

Offset

1,5

Links

T. D. Noe, Rows n=1..35 of triangle, flattened

Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the First Kind.

Example

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

Mathematica

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

Crossrefs

Sequence in context: A266488 A189355 A221817 * A195739 A323128 A334703

Adjacent sequences: A054372 A054373 A054374 * A054376 A054377 A054378

Keyword

sign,easy,nice,tabl

Author

Eric W. Weisstein

Status

approved