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A015342 Inverse of 1333rd cyclotomic polynomial. 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, -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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 1333. - Ray Chandler, Apr 07 2017

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, order 1260.

Index to sequences related to inverse of cyclotomic polynomials

EXAMPLE

The series begins 1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14 + x^15 + x^16 + x^17 + x^18 + x^19 + x^20 + x^21 + x^22 + x^23 + x^24 + x^25 + x^26 + x^27 + x^28 + x^29 + x^30 - 1*x^43 - 1*x^44 - 1*x^45 - 1*x^46 - 1*x^47 - 1*x^48 - 1*x^49 - 1*x^50 - 1*x^51 - 1*x^52 - 1*x^53 - 1*x^54 - 1*x^55 - 1*x^56 - 1*x^57 - 1*x^58 - 1*x^59 - 1*x^60 - 1*x^61 - 1*x^62 - 1*x^63 - 1*x^64 - 1*x^65 - 1*x^66 - 1*x^67 - 1*x^68 - 1*x^69 - 1*x^70 - 1*x^71 - 1*x^72 - 1*x^73 + x^1333 + x^1334 + x^1335 + x^1336 + x^1337 + x^1338 + ...

Note the gap after x^73 (which is why the DATA section ends with a string of zeros). - N. J. A. Sloane, Dec 12 2015

MAPLE

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

MATHEMATICA

CoefficientList[Series[1/Cyclotomic[1333, x], {x, 0, 1450}], x] (* Harvey P. Dale, Dec 13 2015 *)

CROSSREFS

Sequence in context: A015838 A015652 A015466 * A015280 A015156 A016303

Adjacent sequences:  A015339 A015340 A015341 * A015343 A015344 A015345

KEYWORD

sign

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified April 21 04:56 EDT 2019. Contains 322310 sequences. (Running on oeis4.)