%I #10 Apr 08 2013 05:19:52
%S 1,1,1,1,4,1,1,12,6,1,1,33,27,8,1,1,88,108,44,10,1,1,232,405,208,65,
%T 12,1,1,609,1459,908,350,90,14,1
%N Triangle read by rows related to A000984, central binomial coefficients
%F T(n,k) = A191314(2*n,k).
%F Take finite differences of even numbered columns of the A205573 array from the top -> down.
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 1, 4, 1;
%e 1, 12, 6, 1;
%e 1, 33, 27, 8, 1;
%e 1, 88, 108, 44, 10, 1;
%e 1, 232, 405, 208, 65, 12, 1;
%e 1, 609, 1459, 908, 350, 90, 14, 1;
%e ...
%e Row 2 = (1, 4, 1) = row 4 of triangle A191314.
%e Row 3 = (1, 12, 6, 1) = finite differences of column 6 of the array shown in A205573: (1, 13, 19, 20)
%Y Cf. A000984 (row sums), A001405, A191314, A205573, A205945 (companion).
%K nonn,tabl
%O 0,5
%A _Gary W. Adamson_, Feb 01 2012