a(m,k) tabl head (triangle) for  A117505 ((for numerator polynomials of column  g.f.s of CM12:=A116880


   m\k     0       1       2       3       4       5       6       7       8       9 ...
  
                              
   0       1       0       0       0       0       0       0       0       0       0
  
   1       2       1       0       0       0       0       0       0       0       0

   2       2       4       3       0       0       0       0       0       0       0

   3       2       4      16      13       0       0       0       0       0       0

   4       2       4      16      80      67       0       0       0       0       0

   5       2       4      16      80     448     381       0       0       0       0

   6       2       4      16      80     448    2688    2307       0       0       0

   7       2       4      16      80     448    2688   16896   14589       0       0

   8       2       4      16      80     448    2688   16896  109824   95235       0

   9       2       4      16      80     448    2688   16896  109824  732160  636925

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  The sequence in the main diagonal is a(k,k)= C(2;k):= A064062(k), k>=0, (generalized Catalan numbers).

  The sequence of every subdiagonal is 2* A110507(k) =  A000108(k)*2^(k+1), k>=0. 


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  The row polynomials appear in the numerator of the o.g.f. G(m,x) for column m>=1 of triangle CM12(n,m)=A116880(n,m):

   G(m,x) = x*(-sum(a(m,k)*x^(k-1),k=1..m) + sum(a(m,k)*x^k,k=0..m)*2*c(2*x))/(1+x),  with the o.g.f. c(x) of A000108 (Catalan numbers).


  For example, G(3,x)= x*(-(4+16*x+13*x^2) + (2+4*x+16*x^2+13*x^3)*2*c(2*x))/(1+x) generates the m=3 column sequence of CM12=A116880,
  
  which is [67,247,1277,7379,45373,290691,1918205,...] with offset 3. 


 ################################################### e.o.f.#############################################################################