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 A014021 Inverse of 12th cyclotomic polynomial. 5
 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Periodic with period length 12. - 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, 1, 0, -1). FORMULA a(n) = (1/12)*(-(n mod 12)-((n+3) mod 12)+((n+4) mod 12)-((n+5) mod 12)+((n+6) mod 12)+((n+9) mod 12)-((n+10) mod 12)+((n+11) mod 12)). - Paolo P. Lava, Mar 10 2011 G.f.: 1 / ( 1-x^2+x^4 ). - R. J. Mathar, Mar 11 2011 MAPLE with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); MATHEMATICA CoefficientList[Series[1/Cyclotomic[12, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *) LinearRecurrence[{0, 1, 0, -1}, {1, 0, 1, 0}, 100] (* or *) PadRight[{}, 100, {1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0}] (* Harvey P. Dale, Oct 12 2017 *) PROG (PARI) Vec(1/polcyclo(12)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014 (MAGMA) &cat[[1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0]: n in [0..15]]; // Vincenzo Librandi, Apr 03 2014 CROSSREFS Sequence in context: A015101 A145649 A016340 * A015725 A016331 A014429 Adjacent sequences:  A014018 A014019 A014020 * A014022 A014023 A014024 KEYWORD sign,easy,changed AUTHOR STATUS approved

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