%I A115194
%S A115194 1,7,45,291,1917,12867,87805,607747,4257789,30140419,215277565,
%T A115194 1549615107,11230642173,81882660867,600196448253,4420404117507,
%U A115194 32695452696573,242766809923587,1808890431799293,13521381274681347
%N A115194 A sequence related to A000108 (Catalan numbers).
%C A115194 Also one fourth of third diagonal of triangle A115195, called Y(1,2).
%C A115194 Fourth column (m=3) of triangle A115193, called C(1,2).
%F A115194 G.f.: (-1+x + (1-3*x)*c(2*x))/(2*(1+x)*x^2), with the o.g.f. c(x) of 
               A000108 (Catalan).
%F A115194 a(n)= A115193(n+3,3), n>=0.
%Y A115194 Sequence in context: A107125 A059937 A099842 this_sequence A062274 A143835 
               A103719
%Y A115194 Adjacent sequences: A115191 A115192 A115193 this_sequence A115195 A115196 
               A115197
%K A115194 nonn,easy
%O A115194 0,2
%A A115194 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Feb 23 2006