%I A112874
%S A112874 3,4,5,6,7,10,11,12,26,160,3787,31877
%N A112874 Numbers n such that the coefficient of x^n in (x^2-x-1)^n is prime.
%C A112874 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.
%H A112874 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               CentralTrinomialCoefficient.html">Central Trinomial Coefficient</
               a>
%H A112874 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes</a>
%t A112874 Select[Range[200], PrimeQ[Coefficient[Expand[(x^2-x-1)^# ], x, # ]]&]
%Y A112874 Cf. A098331 (coefficient of x^n in (x^2-x-1)^n).
%Y A112874 Sequence in context: A022555 A047308 A092860 this_sequence A159973 A158008 
               A106155
%Y A112874 Adjacent sequences: A112871 A112872 A112873 this_sequence A112875 A112876 
               A112877
%K A112874 hard,nonn
%O A112874 1,1
%A A112874 T. D. Noe (noe(AT)sspectra.com), Sep 29 2005