A257593 - OEIS

A257593

Number of zeros of the polynomial Sum_{j=0..n-1} z^(2^j-1)outside the unit circle.

2, 4, 10, 18, 46, 100, 204, 420, 840, 1708, 3478, 7066, 14286, 28772

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OFFSET

3,1

LINKS

Karl Dilcher and Larry Ericksen, The Polynomials of Mahler and Roots of Unity, The American Mathematical Monthly, Vol. 122, No. 04 (April 2015), pp. 338-353.

MATHEMATICA

Table[Length[Select[Flatten[Abs[z/.NSolve[Sum[z^(2^j-1), {j, 0, n-1}]==0]]], #>1&]], {n, 3, 13}] (* Vincenzo Librandi, Sep 30 2017 *)

CROSSREFS

KEYWORD

nonn,more

AUTHOR

STATUS

approved