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

1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 29, 31, 33, 35, 37, 39, 41, 43, 47, 51, 53, 55, 57, 59, 61, 65, 67, 69, 71, 73, 77, 79, 83, 85, 87, 89, 91, 93, 95, 97, 101, 103, 107, 109, 111, 113, 115, 119, 123, 127, 129, 131, 133, 137, 139, 141, 143, 145, 149, 151, 155, 157

Offset: 1

Author

T. D. Noe, Dec 16 2008

Keywords

• nonn

Comments

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.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A152940, A152941, A152942, A152943.

Programs

PARI

is(n)=issquarefree(n) && n%2 && vecmax(abs(Vec(polcyclo(n))))==1 \\ Charles R Greathouse IV, Nov 05 2017