A014262 - OEIS

A014262

Inverse of 253rd cyclotomic polynomial.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0

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OFFSET

0,1

COMMENTS

Periodic with period length 253. - Ray Chandler, Apr 03 2017

In general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - M. F. Hasler, Feb 18 2018

LINKS

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

Index entries for linear recurrences with constant coefficients, order 220.

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[253, x], {x, 0, 200}], x] (* Vincenzo Librandi, Apr 07 2014 *)

PROG

(PARI) Vec(1/polcyclo(253)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014

CROSSREFS

Cf. similar sequences listed in A240328, A240467.