

A106275


Numbers n for which the absolute value of the discriminant of the polynomial x^n  x^(n1) ... x  1 is a prime times 2^k for some k >=0.


1



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

1,1


COMMENTS

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


REFERENCES

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. 251257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.


LINKS

Table of n, a(n) for n=1..11.
Eric Weisstein's World of Mathematics, Fibonacci nStep


CROSSREFS

Cf. A106273 (discriminant of the polynomial x^nx^(n1)...x1).
Sequence in context: A010354 A070759 A282138 * A303368 A031054 A342728
Adjacent sequences: A106272 A106273 A106274 * A106276 A106277 A106278


KEYWORD

hard,more,nonn


AUTHOR

T. D. Noe, May 02 2005


STATUS

approved



