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A014021 Inverse of 12th cyclotomic polynomial. 4
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

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index to sequences with 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 *)

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

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified July 30 23:15 EDT 2014. Contains 245076 sequences.