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A014024
Inverse of 15th cyclotomic polynomial.
1
1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1
OFFSET
0,1
COMMENTS
Periodic with period length 15. - Ray Chandler, Apr 03 2017
FORMULA
G.f.: 1 / ( 1-x+x^3-x^4+x^5-x^7+x^8 ). - R. J. Mathar, Mar 11 2011
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[15, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)
LinearRecurrence[{1, 0, -1, 1, -1, 0, 1, -1}, {1, 1, 1, 0, 0, -1, -1, -1}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(15)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014
(Magma) &cat[[1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0]: n in [0..10]]; // Vincenzo Librandi, Apr 03 2014
CROSSREFS
Sequence in context: A275601 A281011 A016416 * A014039 A016410 A230412
KEYWORD
sign,easy
AUTHOR
STATUS
approved