|
Search: id:A131672
|
|
|
| A131672 |
|
Arises in reciprocal cyclotomic polynomials. |
|
+0
1
|
|
| 1, 561, 1155, 2145, 3795, 5005, 5005, 8645, 8645, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305, 11305
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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).
|
|
LINKS
|
Pieter Moree, Reciprocal cyclotomic polynomials, Sep 11 2007, table 1 (computed by Yves Gallot), p. 13.
|
|
CROSSREFS
|
Sequence in context: A087788 A083733 A048123 this_sequence A083732 A135720 A097130
Adjacent sequences: A131669 A131670 A131671 this_sequence A131673 A131674 A131675
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost2(AT)yahoo.com), Sep 12 2007
|
|
|
Search completed in 0.002 seconds
|
