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A014045
Inverse of 36th cyclotomic polynomial.
4
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0
OFFSET
0,1
COMMENTS
Periodic with period length 36. - Ray Chandler, Apr 03 2017
FORMULA
G.f.: 1/(1 - x^6 + x^12). - Ilya Gutkovskiy, Aug 19 2017
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[36, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(36)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014
CROSSREFS
Column k=36 of A291137.
Sequence in context: A297199 A373477 A185117 * A015269 A016347 A015989
KEYWORD
sign,easy
AUTHOR
STATUS
approved