%I A052173
%S A052173 1,1,0,1,0,1,1,0,2,0,1,0,3,0,2,1,0,4,0,5,0,1,0,5,0,9,0,5,1,0,6,0,14,0,
%T A052173 14,0,1,0,7,0,20,0,28,0,14,1,0,8,0,27,0,48,0,42,0,1,0,9,0,35,0,75,0,90,
%U A052173 0,42,1,0,10,0,44,0,110,0,165,0,132,0,1,0,11,0,54,0,154,0,275,0,297,0
%N A052173 Another version of the Catalan triangle A008315.
%H A052173 R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, <a href="http://www.cs.uwaterloo.ca/
               journals/JIS/index.html">J. Integer Seqs., Vol. 3 (2000), #00.1.6</
               a>
%H A052173 W. F. Klostermeyer, M. E. Mays, L. Soltes and G. Trapp, <a href="http:/
               /www.math.wvu.edu/~mays/Papers/apd2.ps">A Pascal rhombus</a>, Fibonacci 
               Quarterly, 35 (1997), 318-328.
%F A052173 a(n, k) =a(n-1, k-2)+a(n-1, k) with a(0, 0)=1 and a(n, k)=0 if k < 0 
               or k > n.
%e A052173 1; 1 0; 1 0 1; 1 0 2 0; 1 0 3 0 2; 1 0 4 0 5 0; 1 0 5 0 9 0 5; ...
%Y A052173 See A008315 (the main entry for this triangle) for more information.
%Y A052173 Reflection of A053121.
%Y A052173 Sequence in context: A120616 A108044 A104477 this_sequence A124305 A087073 
               A106844
%Y A052173 Adjacent sequences: A052170 A052171 A052172 this_sequence A052174 A052175 
               A052176
%K A052173 nonn,easy,tabl
%O A052173 0,9
%A A052173 N. J. A. Sloane (njas(AT)research.att.com), Jan 26 2000
%E A052173 More terms from Henry Bottomley (se16(AT)btinternet.com), Aug 23 2001