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 A014017 Inverse of 8th cyclotomic polynomial. 7
 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Periodic with period length 8. - Ray Chandler, Apr 03 2017 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 John M. Campbell, An Integral Representation of KekulĂ© Numbers, and Double Integrals Related to Smarandache Sequences, arXiv preprint arXiv:1105.3399, 2011. Index entries for linear recurrences with constant coefficients, signature (0,0,0,-1). FORMULA a(4n) = (-1)^n, else a(n) = 0. a(n) = (1/8)*(-(n mod 8)-((n+3) mod 8)+((n+4) mod 8)+((n+7) mod 8)). - Paolo P. Lava, Mar 10 2011 G.f.: 1/ ( 1+x^4 ). - R. J. Mathar, Mar 11 2011 a(n) = sin((sin(Pi*(n+1)/2)^2)*Pi*(n+2)/4). - Mikael Aaltonen, Jan 02 2015 E.g.f.: cos(x/sqrt(2))*cosh(x/sqrt(2)). - Vaclav Kotesovec, Feb 15 2015 MAPLE with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); MATHEMATICA CoefficientList[Series[1/Cyclotomic[8, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *) PROG (PARI) Vec(1/polcyclo(8)+O(x^99)) \\ Charles R Greathouse IV, Mar 24 2014 (MAGMA) &cat[[1, 0, 0, 0, -1, 0, 0, 0]: n in [0..20]]; // Vincenzo Librandi, Apr 03 2014 CROSSREFS Sequence in context: A015153 A015985 A015777 * A121262 A181923 A290098 Adjacent sequences:  A014014 A014015 A014016 * A014018 A014019 A014020 KEYWORD sign,easy AUTHOR STATUS approved

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Last modified March 28 05:38 EDT 2020. Contains 333073 sequences. (Running on oeis4.)