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%I #5 Jun 13 2017 22:51:37
%S 1,14,203,3367,64750,1435497,36312626,1036877170,33086963196,
%T 1169366274321,45412092740791,1924418011638535,88445828358934074,
%U 4384910640997110602,233384463606862044134,13278878088344760573344
%N Column 3 of triangle A113345, also equals column 0 of A113350^7.
%C A113345 is the matrix square of A113340.
%o (PARI) a(n)=local(A,B);A=matrix(1,1);A[1,1]=1;for(m=2,n+4,B=matrix(m,m); for(i=1,m, for(j=1,i,if(i<3 || j==i || j>m-1,B[i,j]=1,if(j==1, B[i,1]=1,B[i,j]=(A^(2*j-1))[i-j+1,1]));));A=B);(A^2)[n+4,4]
%Y Cf. A113340, A113345, A113346 (column 0), A113347 (column 1), A113348 (column 2); A113350.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 08 2005