%I A119908
%S A119908 1,1,3,1,11,13,13,29,43,61,79,107,181,251
%N A119908 Largest squared prime factor of the odd Catalan number (A038003[n]) or 
               1, if it is square-free.
%C A119908 Odd Catalan number is A038003[n] = A000108[2^n-1] = binomial(2^(n+1)-2, 
               2^n-1)/(2^n).
%e A119908 There is no a(1) because A038003[1] = 1.
%e A119908 a(2) = 1 because A038003[2] = 5 square-free.
%e A119908 a(3) = 1 because A038003[3] = 429 = 3*11*13 square-free.
%e A119908 a(4) = 3 because A038003[4] = 9694845 = 3^2*5*17*19*23*29.
%Y A119908 Cf. A038003, A000108.
%Y A119908 Sequence in context: A110440 A135574 A008969 this_sequence A153257 A002185 
               A002589
%Y A119908 Adjacent sequences: A119905 A119906 A119907 this_sequence A119909 A119910 
               A119911
%K A119908 nonn
%O A119908 2,3
%A A119908 Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 02 2006