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A014020
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Inverse of 11th cyclotomic polynomial.
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1
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1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0
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OFFSET
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0,1
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COMMENTS
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (-1, -1, -1, -1, -1, -1, -1, -1, -1, -1).
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FORMULA
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G.f.: 1/(1 + x + x^2 + x^3 + ... + x^10). - R. J. Mathar, Aug 11 2012
a(n) = (11*m^10 - 595*m^9 + 13980*m^8 - 186990*m^7 + 1566663*m^6 - 8513715*m^5 + 29974570*m^4 - 65946860*m^3 + 82751976*m^2 - 46916640*m + 3628800)/3628800, where m = n mod 11. - Luce ETIENNE, Sep 20 2018
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MAPLE
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with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
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MATHEMATICA
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CoefficientList[Series[1/Cyclotomic[11, x], {x, 0, 100}], x] (* Vincenzo Librandi, Apr 03 2014 *)
LinearRecurrence[{-1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, {1, -1, 0, 0, 0, 0, 0, 0, 0, 0}, 81] (* Ray Chandler, Sep 15 2015 *)
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PROG
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(Magma) &cat[[1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]: n in [0..15]]; // Vincenzo Librandi, Apr 03 2014
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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