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A016192 Inverse of 2183rd 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, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 2183. - Ray Chandler, Apr 07 2017

LINKS

Ray Chandler, Table of n, a(n) for n = 0..3000

Index entries for linear recurrences with constant coefficients, order 2088.

Index to sequences related to inverse of cyclotomic polynomials

FORMULA

G.f. (1 + x + ... + x^36 - x^59 - ... - x^95)/(1 - x^2183) = (1 - x^37)/(1 - x)*(1 - x^59)/(1 - x^2183) = (1 + x + ... + x^36)/(1 + x^59 + x^118 + ... + x^2124) = 1/((1 - x)(1 + x^37 + x^59 +...+ x^2087)), therefore this is a linear recurrence of order 2088. - M. F. Hasler, Feb 16 2018

MAPLE

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

PROG

(PARI) A016192_vec(N)=Vec((O(x^N)+1-x^37)/(1-x)*(1-x^59)/(1-x^2183)) \\ M. F. Hasler, Feb 16 2018

CROSSREFS

Cf. A007273, A010891, A010892, A014016 - A016327, A240328 - A240467 and A291137.

Sequence in context: A053981 A189023 A016266 * A015970 A015748 A015600

Adjacent sequences:  A016189 A016190 A016191 * A016193 A016194 A016195

KEYWORD

sign

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified November 19 03:48 EST 2019. Contains 329310 sequences. (Running on oeis4.)