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A112874 Numbers n such that the coefficient of x^n in (x^2-x-1)^n is prime. 0
3, 4, 5, 6, 7, 10, 11, 12, 26, 160, 3787, 31877 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

n=31877 yields a probable prime; the others have been proved prime. These n were also found by Eric Weisstein, who found no other n<100000.

LINKS

Eric Weisstein's World of Mathematics, Central Trinomial Coefficient

Eric Weisstein's World of Mathematics, Integer Sequence Primes

MATHEMATICA

Select[Range[200], PrimeQ[Coefficient[Expand[(x^2-x-1)^# ], x, # ]]&]

CROSSREFS

Cf. A098331 (coefficient of x^n in (x^2-x-1)^n).

Sequence in context: A022555 A047308 A092860 * A159973 A158008 A106155

Adjacent sequences:  A112871 A112872 A112873 * A112875 A112876 A112877

KEYWORD

hard,nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Sep 29 2005

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.