1,1
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.
Eric Weisstein's World of Mathematics, Central Trinomial Coefficient
Eric Weisstein's World of Mathematics, Integer Sequence Primes
Select[Range[200], PrimeQ[Coefficient[Expand[(x^2-x-1)^# ], x, # ]]&]
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
hard,nonn
T. D. Noe (noe(AT)sspectra.com), Sep 29 2005