%I A098796
%S A098796 1,1,3,19,1527,16001,2079863,25138879,3977502767,9094756956909,
%T A098796 123064080712655,323237794212444689,63954318104304685581,
%U A098796 908009997951266138587,185964440670918582766943
%N A098796 Sequence related to a congruence property for the Catalan numbers.
%F A098796 a(n) = (Catalan(P_n-1)+1)/P_n where P_n is the n-th prime and Catalan(k) 
               is the Catalan number binomial(2k, k)/(k+1).
%e A098796 a(4)=(132+1)/7=19
%p A098796 with(numtheory): catalan_divise:=proc(n) (binomial(2*n-2,n-1)/n+1)/n 
               end: seq(catalan_divise(ithprime(i)),i=1..20);
%Y A098796 Cf. A000108, A000040.
%Y A098796 Sequence in context: A136372 A107706 A114301 this_sequence A120563 A164063 
               A117844
%Y A098796 Adjacent sequences: A098793 A098794 A098795 this_sequence A098797 A098798 
               A098799
%K A098796 nonn
%O A098796 1,3
%A A098796 Frederic Chapoton (fchapoton(AT)voila.fr), Oct 05 2004