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A152955 Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 1. 7

%I #6 Nov 05 2017 13:21:11

%S 1,3,5,7,11,13,15,17,19,21,23,29,31,33,35,37,39,41,43,47,51,53,55,57,

%T 59,61,65,67,69,71,73,77,79,83,85,87,89,91,93,95,97,101,103,107,109,

%U 111,113,115,119,123,127,129,131,133,137,139,141,143,145,149,151,155,157

%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. Polynomials of height 1 are also called flat polynomials. This sequence includes prime (first order) and semiprime (second order) n, as well as third-order (A117223), fourth-order (A117318) and higher-order n.

%H T. D. Noe, <a href="/A152955/b152955.txt">Table of n, a(n) for n = 1..1000</a>

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

%Y Cf. A152940, A152941, A152942, A152943.

%K nonn

%O 1,2

%A _T. D. Noe_, Dec 16 2008

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Last modified April 30 15:01 EDT 2024. Contains 372134 sequences. (Running on oeis4.)