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%I #4 Dec 25 2014 19:30:35
%S 10,85,632,3423,14795,54219,2327062,43197859,395069496,2063349297,
%T 7250116841,19242081848,41884052188,79190458776,135212633776,
%U 214009464108,319640931500,456167117868,627648109484,838143992620
%N Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down
%C Column 6 of A253011
%H R. H. Hardin, <a href="/A253009/b253009.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (2030043136/3)*n^3 - 19063373824*n^2 + (545623168640/3)*n - 587442631380 for n>15
%e Some solutions for n=6
%e ..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..1
%e ..0..0..0..0..1..1....0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1
%e ..0..0..0..0..1..1....0..0..0..1..1..2....0..0..0..1..1..1....0..0..0..0..1..1
%e ..0..1..1..1..1..1....1..1..1..1..1..2....0..1..1..1..2..2....0..0..0..1..1..2
%e ..1..1..1..1..2..2....1..1..1..1..1..2....1..1..1..1..2..2....1..1..1..1..1..2
%e ..1..1..2..2..2..2....1..1..2..2..2..2....1..1..1..1..2..2....2..2..2..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 25 2014