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A014041
Inverse of 32nd cyclotomic polynomial.
1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1
OFFSET
0,1
COMMENTS
Periodic with period length 32. - Ray Chandler, Apr 03 2017
FORMULA
G.f.: 1/(1 + x^16). - Ilya Gutkovskiy, Aug 19 2017
MAPLE
with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); c(32);
MATHEMATICA
CoefficientList[Series[1/Cyclotomic[32, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 04 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
PROG
(PARI) Vec(1/polcyclo(32)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014
CROSSREFS
Column k=32 of A291137.
Sequence in context: A358008 A373598 A249832 * A373258 A359465 A353675
KEYWORD
sign
AUTHOR
STATUS
approved