Search: id:A120303
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%I A120303
%S A120303 2,5,7,7,11,13,13,17,19,19,23,23,23,29,31,31,31,37,37,41,43,43,47,47,47,
%T A120303 53,53,53,59,61,61,61,67,67,71,73,73,73,79,79,83,83,83,89,89,89,89,97,
%U A120303 97,101,103,103,107,109,109,113,113,113,113,113,113,113,127,127,131,131
%N A120303 Largest prime factor of Catalan number A000108[n].
%C A120303 All prime numbers are present in a(n) in their natural order with repetition. 
               The number of repetitions is equal to A028334[n]: differences between 
               consecutive primes, divided by 2. - Alexander Adamchuk (alex(AT)kolmogorov.com), 
               Jul 30 2006
%F A120303 a(n) = Max[FactorInteger[(2n)!/n!/(n+1)! ]]. a(n) = A060308[n] = A060265[n] 
               for n>2.
%t A120303 Table[Max[FactorInteger[(2n)!/n!/(n+1)! ]],{n,2,100}]
%Y A120303 Cf. A000108, A060308, A060265, A020482.
%Y A120303 Cf. A028334.
%Y A120303 Sequence in context: A096624 A145378 A069887 this_sequence A093413 A004099 
               A084959
%Y A120303 Adjacent sequences: A120300 A120301 A120302 this_sequence A120304 A120305 
               A120306
%K A120303 nonn
%O A120303 2,1
%A A120303 Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 13 2006

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