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A131672
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Arises in reciprocal cyclotomic polynomials.
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0
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1, 561, 1155, 2145, 3795, 5005, 5005, 8645, 8645, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Moree's abstract: "Let Psi_n(x) be the monic polynomial having precisely all nonprimitive n-th roots of unity as its simple zeros. One has Psi_n(x)=(x^n-1)/Phi_n(x), with Phi_n(x) the n-th cyclotomic polynomial. The coefficients of Psi_n(x) are integers that like the coefficients of Phi_n(x) tend to be surprisingly small in absolute value, e.g. for n<561 all coefficients of $Psi_n(x) are <= 1 in absolute value. We establish various properties of the coefficients of Psi_n(x).
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LINKS
| Pieter Moree, Reciprocal cyclotomic polynomials, Sep 11 2007, table 1 (computed by Yves Gallot), p. 13.
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CROSSREFS
| Sequence in context: A083733 A175737 A048123 * A083732 A135720 A097130
Adjacent sequences: A131669 A131670 A131671 * A131673 A131674 A131675
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KEYWORD
| more,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 12 2007
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