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

1,2

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

Prog

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

Crossrefs

Cf. A152940, A152941, A152942, A152943.

Sequence in context: A342144 A357014 A056911 * A235866 A334141 A325570

Adjacent sequences: A152952 A152953 A152954 * A152956 A152957 A152958

Keyword

nonn

Author

T. D. Noe, Dec 16 2008

Status

approved