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Search: id:A081797
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| A081797 |
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Maximal coefficient (in absolute value) of the minimal polynomial P with integer coefficients such that P(sin(Pi/n)) = 0. |
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+0
1
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| 1, 1, 4, 2, 20, 2, 112, 8, 96, 4, 2816, 16, 16640, 8, 448, 256, 487424, 8, 2723840, 512, 11264, 32, 85917696, 512, 13107200, 80, 2236416, 13568, 15386804224, 16, 84515225600, 212992, 10911744, 448, 343670784, 13824, 15625695002624, 1024
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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It appears that when n>3 is prime, n divides a(n). - T. D. Noe (noe(AT)sspectra.com), Jan 06 2008
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EXAMPLE
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x=sin(Pi/9) satisfies 64x^6-96x^4+36x^2-3=0, hence a(9)=96
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MATHEMATICA
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Table[Max[Abs[CoefficientList[MinimalPolynomial[Sin[Pi/n], x], x]]], {n, 20}] - T. D. Noe (noe(AT)sspectra.com), Jan 06 2008
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CROSSREFS
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Cf. A055034.
Sequence in context: A074676 A117692 A052966 this_sequence A016517 A100400 A030211
Adjacent sequences: A081794 A081795 A081796 this_sequence A081798 A081799 A081800
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 10 2003
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Jan 06 2008
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