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A015582
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Inverse of 1573rd cyclotomic polynomial.
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1
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
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OFFSET
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0,1
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COMMENTS
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Periodic with period length 1573. - Ray Chandler, Apr 07 2017
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LINKS
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FORMULA
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cyclotomic(1573,x) is a polynomial of 120th order in the variable x^11, so it is c = 1 - x^11 - x^132 + x^264 + ... + x^1320, or with y = x^11 we can write c = 1 - y + y^11 - y^12 + y^13 - y^14 ... + y^120. - R. J. Mathar, Oct 20 2008
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MAPLE
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with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80); c(1573);
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MATHEMATICA
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CoefficientList[Series[1/Cyclotomic[1573, x], {x, 0, 100}], x][[;; 81]] (* Jean-François Alcover, Jul 05 2011 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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