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A014047
Inverse of 38th cyclotomic polynomial.
4
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0
OFFSET
0,1
COMMENTS
Periodic with period length 38. - Ray Chandler, Apr 03 2017
FORMULA
G.f.: 1/(1 - x + x^2 - x^3 + x^4 - x^5 + ... + x^18). - Ilya Gutkovskiy, Aug 19 2017
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[38, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)
LinearRecurrence[{1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1}, {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(38)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014
CROSSREFS
Column k=38 of A291137.
Sequence in context: A014055 A256433 A014028 * A016411 A205987 A014026
KEYWORD
sign
AUTHOR
STATUS
approved