Sum of the absolute values 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, 35

0

These numbers are a norm on the cyclotomic polynomials. This sequence first differs from A051664 at n=105.

T. D. Noe, Plot of 10001 terms

T. D. Noe, Table of 10001 terms

Eric W. Weisstein, MathWorld: Polynomial Norm

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

Cf. A051664, A160338, S000427, S000428.

nonn,nice

T. D. Noe, Dec 19 2014