login
A014051
Inverse of 42nd cyclotomic polynomial.
4
1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0
OFFSET
0,1
COMMENTS
Periodic with period length 42. - Ray Chandler, Apr 03 2017
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[42, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)
LinearRecurrence[{-1, 0, 1, 1, 0, -1, 0, 1, 1, 0, -1, -1}, {1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(42)+O(x^99)) \\ Charles R Greathouse IV, Apr 01 2014
CROSSREFS
Cf. inverse of k-th cyclotomic polynomial: A049347 (k=3), A056594 (k=4), A010891 (k=5), A010892 (k=6), A014016 - A014045 (k=7-36), A240328 (k=37), A014047 - A014049 (k=38-40), A240329 (k=41).
Sequence in context: A266605 A016421 A014030 * A016400 A157022 A016362
KEYWORD
sign,easy
AUTHOR
STATUS
approved