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A014037
Inverse of 28th cyclotomic polynomial.
2
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0
OFFSET
0,1
COMMENTS
Periodic with period length 28. - Ray Chandler, Apr 03 2017
FORMULA
G.f.: 1/(1 - x^2 + x^4 - x^6 + x^8 - x^10 + 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[28, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)
LinearRecurrence[{0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(28)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014
(Magma) &cat[[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]: n in [0..5]]; // Vincenzo Librandi, Apr 03 2014
CROSSREFS
Column k=28 of A291137.
Sequence in context: A186719 A353680 A353637 * A016419 A016391 A016378
KEYWORD
sign
AUTHOR
STATUS
approved