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

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.

Sequence in context: A014691 A014328 A014647 * A014515 A014218 A014427

Adjacent sequences: A014259 A014260 A014261 * A014263 A014264 A014265

Keyword

sign,easy

Author

Simon Plouffe

Status

approved