%I #4 Dec 22 2014 13:38:26
%S 22,125,850,6211,42738,244131,1056756,3320837,7822881,14827629,
%T 24422839,36628371,51446975,68878827,88923927,111582275,136853871,
%U 164738715,195236807,228348147,264072735,302410571,343361655,386925987,433103567
%N Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down
%C Column 7 of A252836
%H R. H. Hardin, <a href="/A252835/b252835.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1306624*n^2 - 17846996*n + 62638467 for n>11
%e Some solutions for n=4
%e ..0..1..2..2..3..4..4....0..1..2..2..3..4..5....0..1..1..2..3..3..4
%e ..0..1..2..3..3..4..5....0..1..2..2..3..4..5....0..1..1..2..3..4..4
%e ..1..1..2..3..3..4..5....1..1..2..2..3..4..5....1..1..2..2..3..4..5
%e ..2..2..2..3..3..4..5....1..1..2..3..3..4..5....2..2..2..2..3..4..5
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 22 2014