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 A014027 Inverse of 18th cyclotomic polynomial. 2
 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Periodic with period length 18. - Ray Chandler, Apr 03 2017 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0, 0, 1, 0, 0, -1). Index to sequences related to inverse of cyclotomic polynomials FORMULA a(n) = (1/18)*(-(n mod 18)-((n+5) mod 18)+((n+6) mod 18)-((n+8) mod 18)+((n+9) mod 18)+((n+14) mod 18)-((n+15) mod 18)+((n+17) mod 18)). - Paolo P. Lava, Mar 10 2011 G.f.: 1 / ( 1-x^3+x^6 ). - R. J. Mathar, Mar 11 2011 MAPLE with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); MATHEMATICA CoefficientList[Series[1/Cyclotomic[18, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *) LinearRecurrence[{0, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *) PROG (PARI) Vec(1/polcyclo(18)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014 (Magma) &cat[[1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0]: n in [0..8]]; // Vincenzo Librandi, Apr 03 2014 CROSSREFS Sequence in context: A015647 A015998 A014018 * A015296 A015890 A011648 Adjacent sequences: A014024 A014025 A014026 * A014028 A014029 A014030 KEYWORD sign,easy AUTHOR Simon Plouffe STATUS approved

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Last modified November 29 03:03 EST 2023. Contains 367422 sequences. (Running on oeis4.)