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A014515 Inverse of 506th cyclotomic polynomial. 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Periodic with period length 506. - Ray Chandler, Apr 04 2017

In general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - M. F. Hasler, Feb 18 2018

LINKS

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, order 220.

Index to sequences related to inverse of cyclotomic polynomials

MAPLE

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

CROSSREFS

Cf. sequences listed in cross-references of A240328 (1/Phi(N), N = 3 .. 75) and A240467 (N = 76 .. 253).

Sequence in context: A014328 A014647 A014262 * A014218 A014427 A014196

Adjacent sequences:  A014512 A014513 A014514 * A014516 A014517 A014518

KEYWORD

sign

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified October 18 10:05 EDT 2019. Contains 328146 sequences. (Running on oeis4.)