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A054372 Table of resultants for cyclotomic polynomials phi_k(x) and phi_n(x). 4
0, 2, 0, 3, 1, 0, 2, 2, 1, 0, 5, 1, 1, 1, 0, 1, 3, 4, 1, 1, 0, 7, 1, 1, 1, 1, 1, 0, 2, 2, 1, 4, 1, 1, 1, 0, 3, 1, 9, 1, 1, 1, 1, 1, 0, 1, 5, 1, 1, 16, 1, 1, 1, 1, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 9, 1, 4, 1, 1, 1, 1, 1, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 7, 1, 1, 1, 1, 64, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
T. M. Apostol, Resultants of cyclotomic polynomials, Proc. Amer. Math. Soc. 24 (1970), 457-462.
Eric Weisstein's World of Mathematics, Cyclotomic Polynomial.
EXAMPLE
Triangle begins:
0;
2, 0;
3, 1, 0;
2, 2, 1, 0;
5, 1, 1, 1, 0;
1, 3, 4, 1, 1, 0;
7, 1, 1, 1, 1, 1, 0;
2, 2, 1, 4, 1, 1, 1, 0;
...
MATHEMATICA
Flatten[Table[Resultant[Cyclotomic[n, x], Cyclotomic[k, x], x], {k, 20}, {n, k}]]
PROG
(PARI) T(n, k) = polresultant(polcyclo(k), polcyclo(n));
row(n) = vector(n, k, T(n, k)); \\ Michel Marcus, Aug 18 2021
CROSSREFS
Sequence in context: A238762 A269517 A190440 * A070679 A177443 A176919
KEYWORD
nonn,easy,nice,tabl
AUTHOR
STATUS
approved

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Last modified September 12 05:07 EDT 2024. Contains 375842 sequences. (Running on oeis4.)