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A106274
Numbers k for which the absolute value of the discriminant of the polynomial x^k - x^(k-1) - ... - x - 1 is prime.
1
2, 4, 6, 26, 158
OFFSET
1,1
COMMENTS
This polynomial is the characteristic polynomial of the Fibonacci and Lucas k-step recursions. Are the k-step recursions different -- in some way -- for the values of k that yield a prime discriminant? No other k < 10000.
LINKS
Eric Weisstein's World of Mathematics, Fibonacci n-Step Number.
CROSSREFS
Cf. A106273 (discriminant of the polynomial x^n - x^(n-1) - ... - x - 1).
Sequence in context: A319575 A318609 A195333 * A204661 A284919 A279419
KEYWORD
hard,more,nonn
AUTHOR
T. D. Noe, May 02 2005
STATUS
approved