A015582 Inverse of 1573rd cyclotomic polynomial.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,1

Comments

Periodic with period length 1573. - Ray Chandler, Apr 07 2017

Links

Ray Chandler, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, order 1320.

Index to sequences related to inverse of cyclotomic polynomials

Formula

cyclotomic(1573,x) is a polynomial of 120th order in the variable x^11, so it is c = 1 - x^11 - x^132 + x^264 + ... + x^1320, or with y = x^11 we can write c = 1 - y + y^11 - y^12 + y^13 - y^14 ... + y^120. - R. J. Mathar, Oct 20 2008

Maple

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); c(1573);

Mathematica

CoefficientList[Series[1/Cyclotomic[1573, x], {x, 0, 100}], x][[;; 81]] (* Jean-François Alcover, Jul 05 2011 *)

Crossrefs

Different from A014856 and A100910.

Sequence in context: A015824 A014856 A015703 * A100910 A369004 A359605

Adjacent sequences: A015579 A015580 A015581 * A015583 A015584 A015585

Keyword

sign

Author

Simon Plouffe

Extensions

Incorrect formula deleted by N. J. A. Sloane, Oct 20 2008

Status

approved