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%I #4 Dec 24 2014 20:57:02
%S 26,176,1343,10920,86488,578342,2952734,11219797,32649081,76641323,
%T 153453179,273544411,447399739,685504923,998345723,1396407899,
%U 1890177211,2490139419,3206780283,4050585563,5032041019,6161632411,7449845499
%N Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 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 6 of A252938
%H R. H. Hardin, <a href="/A252936/b252936.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (5242880/3)*n^3 - 36032512*n^2 + (765093664/3)*n - 618047397 for n>10
%e Some solutions for n=4
%e ..0..0..0..1..1..2....0..1..2..2..2..2....0..1..2..2..2..2....0..1..1..1..1..2
%e ..0..0..0..1..2..2....0..1..2..2..3..3....1..1..2..3..3..3....0..1..1..1..2..2
%e ..0..1..1..1..2..2....1..1..2..2..3..4....1..2..2..3..3..3....0..1..1..1..2..3
%e ..1..1..1..1..2..2....2..2..2..3..3..4....2..2..3..3..3..3....0..1..2..2..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 24 2014
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