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Search: id:A136418
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| A136418 |
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Smallest order of the cyclotomic polynomial whose maximal coefficient in absolute value is n. |
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+0
1
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| 0, 105, 385, 1365, 1785, 2805, 3135, 10353, 6545, 12155, 21385, 11165, 21505, 10465, 16555, 19285, 37961, 35105, 18445, 24395, 23205, 53669, 11305, 28595, 17255, 36465, 20615, 42315, 123585, 31535, 49335, 39585, 61295, 35805, 72709, 54285
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OFFSET
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1,2
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COMMENT
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This differs from A013594.
For squarefree k, are there an infinite number of cyclotomic polynomials Phi(k,x) of height n? This is true for n=1 because it is known that there are an infinite number of flat cyclotomic polynomials with k the product of three distinct primes. See A117223. - T. D. Noe (noe(AT)sspectra.com), Apr 22 2008
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..179
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MATHEMATICA
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f[n_] := f[n] = Max@ Abs@ CoefficientList[ Cyclotomic[n, x], x]; Do[ f@n, {n, 100000}]; t = Array[f, 31000]; Table[ Position[t, n, 1, 1], {n, 25}]//Flatten
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CROSSREFS
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Cf. A013594, A046887, A134518.
Adjacent sequences: A136415 A136416 A136417 this_sequence A136419 A136420 A136421
Sequence in context: A113480 A102792 A013594 this_sequence A134518 A143041 A078420
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 31 2008
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Apr 22 2008
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