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A014039 Inverse of 30th cyclotomic polynomial. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Periodic with period length 30. - Ray Chandler, Apr 03 2017
LINKS
FORMULA
G.f.: 1/(1 + x - x^3 - x^4 - x^5 + x^7 + x^8). - Ilya Gutkovskiy, Aug 19 2017
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[30, 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(30)+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, -1, 1, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0]: n in [0..4]]; // Vincenzo Librandi, Apr 03 2014
CROSSREFS
Column k=30 of A291137.
Sequence in context: A281011 A016416 A014024 * A016410 A230412 A115361
KEYWORD
sign
AUTHOR
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)