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A014051 Inverse of 42nd cyclotomic polynomial. 2
1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 42. - 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 (-1, 0, 1, 1, 0, -1, 0, 1, 1, 0, -1, -1).

Index to sequences related to inverse of cyclotomic polynomials

MAPLE

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);

MATHEMATICA

CoefficientList[Series[1/Cyclotomic[42, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)

LinearRecurrence[{-1, 0, 1, 1, 0, -1, 0, 1, 1, 0, -1, -1}, {1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)

PROG

(PARI) Vec(1/polcyclo(42)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014

CROSSREFS

Cf. inverse of  k-th cyclotomic polynomial: A049347 (k=3), A056594 (k=4), A010891 (k=5),  A010892 (k=6),  A014016 - A014045 (k=7-36),  A240328 (k=37),  A014047 - A014049 (k=38-40), A240329 (k=41).

Sequence in context: A266605 A016421 A014030 * A016400 A157022 A016362

Adjacent sequences:  A014048 A014049 A014050 * A014052 A014053 A014054

KEYWORD

sign,easy

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified April 24 18:03 EDT 2019. Contains 322430 sequences. (Running on oeis4.)