

A257592


Number of zeros of the polynomial Sum_{j=0..n1} z^(2^j1)inside the unit circle.


1



1, 3, 5, 7, 17, 27, 51, 91, 183, 309, 617, 1125, 2097, 3995
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OFFSET

3,2


LINKS

Table of n, a(n) for n=3..16.
Karl Dilcher and Larry Ericksen, The Polynomials of Mahler and Roots of Unity, The American Mathematical Monthly, Vol. 122, No. 04 (April 2015), pp. 338353.


MATHEMATICA

Table[Length[Select[Flatten[Abs[z/.NSolve[Sum[z^(2^j1), {j, 0, n1}]==0]]], #<1&]], {n, 3, 12}] (* Vaclav Kotesovec, May 17 2015, but for bigger n needs much memory (for n=14, 5 GB RAM) *)


CROSSREFS

Cf. A257593.
Sequence in context: A086086 A141772 A220454 * A032496 A002092 A274906
Adjacent sequences: A257589 A257590 A257591 * A257593 A257594 A257595


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, May 15 2015


STATUS

approved



