Sum of the squares of the coefficients of Phi(n,x), the n-th cyclotomic polynomial.

1, 2, 2, 3, 2, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 7, 2, 17, 3, 19, 5, 9, 11, 23, 3, 5, 13, 3, 7, 29, 7, 31, 2, 15, 17, 17, 3, 37, 19, 17, 5, 41, 9, 43, 11, 7, 23, 47, 3, 7, 5, 23, 13, 53, 3, 17, 7, 25, 29, 59, 7, 61, 31, 9, 2, 31, 15, 67, 17, 31, 17, 71, 3, 73, 37, 7, 19, 31, 17, 79, 5, 3, 41, 83, 9, 41, 43, 39, 11, 89, 7, 23, 23, 41, 47, 31, 3, 97, 7, 15, 5, 101, 23, 103, 13, 39

0

The square roots of these numbers are a norm on the cyclotomic polynomials.

T. D. Noe, Plot of 10001 terms

T. D. Noe, Table of 10001 terms

Eric W. Weisstein, MathWorld: Polynomial Norm

(Mma) Table[Total[CoefficientList[Cyclotomic[n, x], x]^2], {n, 0, 105}]

Cf. A051664, A160338, S000426, S000428.

nonn,nice

T. D. Noe, Dec 20 2014