%I A046097
%S A046097 1,2,3,4,6,9,10,12,36
%N A046097 Values of n for which binomial[ 2n-1,n ] is square-free.
%H A046097 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BinomialCoefficient.html">Link to a section of The World of Mathematics.</
               a>
%Y A046097 Cf. A001700.
%Y A046097 For a term to be here, it needs to be at least in the intersection of 
               A048645, A051382, A050607, A050608 and an infinitude of similar sequences. 
               The corresponding location in next-to-center column should be nonzero 
               in A034931 (Pascal's triangle mod 4) and all similarly constructed 
               fractal triangles (Pascal's triangle mod p^2).
%Y A046097 Sequence in context: A014851 A128399 A051404 this_sequence A132600 A163627 
               A018431
%Y A046097 Adjacent sequences: A046094 A046095 A046096 this_sequence A046098 A046099 
               A046100
%K A046097 nonn,fini
%O A046097 1,2
%A A046097 Eric Weisstein (eric(AT)weisstein.com)
%E A046097 James A. Sellers (sellersj(AT)math.psu.edu) reports no further terms 
               below 1500.
%E A046097 Michael Somos checked to 99999. Probably there are no more terms.