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%I #7 May 09 2023 19:03:25
%S 0,1,0,3,1,16,18,95,154,581,1160,3752,8485,25208,61180,173343,438242,
%T 1210222,3134472,8538629,22437042,60690510,160889234,433701996,
%U 1156122902,3112018729,8325803356,22402792752,60084101129,161701735578
%N a(n)=number of Catalan knight paths in right half-plane from (0,0) to (n,2).
%C Column 2 of the array in A096608.
%H Paolo Xausa, <a href="/A096611/b096611.txt">Table of n, a(n) for n = 0..1000</a>
%t A096611[nmax_]:=Module[{T},T[0,0]=1;T[n_,k_]:=T[n,k]=If[k<=2n,T[n-1,Abs[k-2]]+T[n-2,Abs[k-1]]+T[n-1,k+2]+T[n-2,k+1],0];Table[T[n,2],{n,0,nmax}]];A096611[50] (* _Paolo Xausa_, May 09 2023 *)
%Y Cf. A096608, A096609, A096610, A096612.
%K nonn
%O 0,4
%A _Clark Kimberling_, Jun 29 2004
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