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, 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

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