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A240330 Inverse of 43rd cyclotomic polynomial. 2
1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Periodic with period length 43. - 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1).

Index to sequences related to inverse of cyclotomic polynomials

MATHEMATICA

CoefficientList[Series[1/Cyclotomic[43, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)

LinearRecurrence[{-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, {1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 88] (* Ray Chandler, Sep 15 2015 *)

PROG

(MAGMA) &cat[[n le 2 select -(-1)^(n) else 0: n in [1..43]]: m in [1..4]];

(MAGMA) t:=43; u:=3; m:=u*t+2; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/CyclotomicPolynomial(t))); // Bruno Berselli, Apr 04 2014

CROSSREFS

Cf. similar sequences listed in A240328.

Sequence in context: A240349 A240348 A240331 * A240329 A240328 A240357

Adjacent sequences:  A240327 A240328 A240329 * A240331 A240332 A240333

KEYWORD

sign,easy

AUTHOR

Vincenzo Librandi, Apr 04 2014

STATUS

approved

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Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)