Search: id:A067295
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%I A067295
%S A067295 14,28,76,227,715,2333,7810,26663,92456,324700,1152464,4127294,
%T A067295 14895145,54115895,197764350,726473055,2680979820,9934884960,
%U A067295 36953107320,137913387450,516295313430,1938260223354
%N A067295 Fourth column of triangle A028364.
%F A067295 a(n)= A028364(n+3, 3) = C(0)*C(n+3)+C(1)*C(n+2)+C(2)*C(n+1)+ C(3)*C(n), 
               with the Catalan numbers C(n)=A000108(n).
%F A067295 a(n)= (3*(31*n^3+163*n^2+254*n+112)/(8*(2*n+1)*(2*n+3)*(2*n+5)))*C(n+3).
%F A067295 G.f.: (c3(x)*c(x)-(c3(x)-1)/x)/x^3, with c3(x) := 1+x+2*x^2+5*x^3 and 
               c(x) G.f. for Catalan numbers A000108.
%Y A067295 Cf. A067294 (third column), A067296 (fifth column).
%Y A067295 Sequence in context: A033011 A077265 A033847 this_sequence A019552 A045527 
               A041384
%Y A067295 Adjacent sequences: A067292 A067293 A067294 this_sequence A067296 A067297 
               A067298
%K A067295 nonn,easy
%O A067295 0,1
%A A067295 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 05 
               2002

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