A240465 Inverse of 76th cyclotomic polynomial.

1, 0, 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, -1, 0, -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, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0

Comments

Periodic with period length 76. - Ray Chandler, Apr 03 2017

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1).

Index to sequences related to inverse of cyclotomic polynomials

Mathematica

CoefficientList[Series[1/Cyclotomic[76, x], {x, 0, 200}], x]

Prog

(Magma) t:=76; u:=3; m:=u*t+2; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/CyclotomicPolynomial(t)));
(PARI) Vec(1/polcyclo(76)+O(x^99)) \\ Charles R Greathouse IV, May 10 2016

Crossrefs

Cf. similar sequences listed in A240328 and A014086 (77), A014087 (78), A014093 (84), A014094 (85), A014096 (87), A014099 (90), A014100 (91), A014102 (93), A014104 (95), A014108 (99), A014111 (102), A014114 (105), A014119 (110), A014123 (114), A014124 (115), A014128 (119), A014129 (120), A014135 (126), A014139 (130), A014141 (132), A014142 (133), A014147 (138), A014149 (140), A014152 (143), A014154 (145), A014159 (150).

Sequence in context: A204445 A179184 A154272 * A240353 A014061 A014053

Adjacent sequences: A240462 A240463 A240464 * A240466 A240467 A240468

Keyword

sign,easy

Author

Vincenzo Librandi, Apr 06 2014

Status

approved