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A054372
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Table of resultants for cyclotomic polynomials phi_k(x) and phi_n(x).
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4
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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
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OFFSET
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1,2
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LINKS
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T. D. Noe, Rows n=1..100 of triangle, flattened
T. M. Apostol, Resultants of cyclotomic polynomials, Proc. Amer. Math. Soc. 24 (1970), 457-462.
Eric Weisstein's World of Mathematics, Cyclotomic Polynomial.
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EXAMPLE
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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;
...
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MATHEMATICA
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Flatten[Table[Resultant[Cyclotomic[n, x], Cyclotomic[k, x], x], {k, 20}, {n, k}]]
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PROG
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(PARI) T(n, k) = polresultant(polcyclo(k), polcyclo(n));
row(n) = vector(n, k, T(n, k)); \\ Michel Marcus, Aug 18 2021
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CROSSREFS
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Sequence in context: A238762 A269517 A190440 * A070679 A177443 A176919
Adjacent sequences: A054369 A054370 A054371 * A054373 A054374 A054375
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KEYWORD
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nonn,easy,nice,tabl
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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