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A015582 Inverse of 1573rd cyclotomic polynomial. 1
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 (list; graph; refs; listen; history; text; internal format)
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

Maple says that 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-Fran├žois Alcover, Jul 05 2011 *)

CROSSREFS

Different from A049941.

Sequence in context: A015824 A014856 A015703 * A100910 A014036 A014063

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

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Last modified August 22 22:36 EDT 2017. Contains 290952 sequences.