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%I #5 Feb 09 2019 21:31:35
%S 1,10,85,632,3423,14795,54219,174844,508484,1357051,3367166,7846507,
%T 17311702,36401032,73344164,142259423,266651159,484610624,856389171,
%U 1475218962,2482510921,4088870385,6602746625,10468982846,16320069070,25043533065,37869646820
%N Number of 6 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{6,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.
%H Alois P. Heinz, <a href="/A323970/b323970.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: -(4*x^13 -47*x^12 +253*x^11 -822*x^10 +1788*x^9 -2728*x^8 +2958*x^7 -2253*x^6 +1145*x^5 -308*x^4 +21*x^3 +33*x^2 -3*x+1) / (x-1)^13.
%Y Row (or column) 6 of array in A323846.
%K nonn,easy
%O 0,2
%A _Alois P. Heinz_, Feb 09 2019
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