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 A014018 Inverse of 9th cyclotomic polynomial. 3
 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 9. - 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 G.f.: 1/(1 + x^3 + x^6). - Ilya Gutkovskiy, Aug 18 2017 a(n) = (19*m^8 - 628*m^7 + 8526*m^6 - 61152*m^5 + 247611*m^4 - 558012*m^3 + 637604*m^2 - 287408*m + 13440)/13440, where m = n mod 9. - Luce ETIENNE, Oct 18 2018 MAPLE with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); MATHEMATICA CoefficientList[Series[1/Cyclotomic[9, 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(9)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014 (Magma) &cat[[1, 0, 0, -1, 0, 0, 0, 0, 0]: n in [0..15]]; // Vincenzo Librandi, Apr 03 2014 CROSSREFS Cf. A010878. Sequence in context: A014828 A015647 A015998 * A014027 A015296 A015890 Adjacent sequences: A014015 A014016 A014017 * A014019 A014020 A014021 KEYWORD sign,easy AUTHOR Simon Plouffe STATUS approved

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Last modified December 2 09:50 EST 2023. Contains 367517 sequences. (Running on oeis4.)