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Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height > 1.
8

%I #9 Nov 05 2017 13:20:52

%S 105,165,195,255,273,285,345,357,385,429,455,555,561,595,609,615,627,

%T 645,665,705,715,759,777,795,805,897,935,957,969,987,1001,1005,1015,

%U 1023,1045,1065,1085,1095,1105,1131,1155,1185,1221,1235,1239,1245,1265

%N Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height > 1.

%C The height of a polynomial is the maximum of the absolute value of its coefficients. Different from A118678, which excludes terms that are a multiple of smaller terms.

%H T. D. Noe, <a href="/A154430/b154430.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[2000], OddQ[#] && SquareFreeQ[#] && Max[ Abs[ CoefficientList[ Cyclotomic[#, x], x]]] > 1&] (* _Jean-François Alcover_, Nov 14 2016 *)

%o (PARI) is(n)=issquarefree(n) && n%2 && vecmax(abs(Vec(polcyclo(n))))>1 \\ _Charles R Greathouse IV_, Nov 05 2017

%Y Cf. A013590, A117318, A117223, A152940, A152941, A152942, A152943, A152955.

%K nonn

%O 1,1

%A _T. D. Noe_, Jan 09 2009