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A106275 Numbers n for which the absolute value of the discriminant of the polynomial x^n - x^(n-1) -...- x - 1 is a prime times 2^k for some k >=0. 1

%I

%S 2,3,4,5,6,7,21,26,99,158,405

%N Numbers n for which the absolute value of the discriminant of the polynomial x^n - x^(n-1) -...- x - 1 is a prime times 2^k for some k >=0.

%C This polynomial is the characteristic polynomial of the Fibonacci and Lucas n-step recursions. Are the n-step recursions different -- in some way -- for the values of n that yield a prime*2^k discriminant? No other n < 10000.

%D Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Fibonaccin-StepNumber.html">Fibonacci n-Step</a>

%Y Cf. A106273 (discriminant of the polynomial x^n-x^(n-1)-...-x-1).

%K hard,more,nonn

%O 1,1

%A _T. D. Noe_, May 02 2005

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Last modified October 15 18:54 EDT 2021. Contains 348034 sequences. (Running on oeis4.)