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%I A234131 #4 Dec 19 2013 18:05:38
%S A234131 91,469,469,2413,4757,2413,12457,47933,47933,12457,64441,484731,
%T A234131 951709,484731,64441,333883,4909103,19007583,19007583,4909103,333883,
%U A234131 1731979,49779251,380250439,753253097,380250439,49779251,1731979,8992639
%N A234131 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
%C A234131 Table starts
%C A234131 .....91......469.......2413.........12457...........64441............333883
%C A234131 ....469.....4757......47933........484731.........4909103..........49779251
%C A234131 ...2413....47933.....951709......19007583.......380250439........7615879723
%C A234131 ..12457...484731...19007583.....753253097.....29939517797.....1191882104721
%C A234131 ..64441..4909103..380250439...29939517797...2369586581169...188019423921117
%C A234131 .333883.49779251.7615879723.1191882104721.188019423921117.29777695096321851
%H A234131 R. H. Hardin, <a href="/A234131/b234131.txt">Table of n, a(n) for n = 1..180</a>
%F A234131 Empirical for column k:
%F A234131 k=1: a(n) = 10*a(n-1) -24*a(n-2) -18*a(n-3) +57*a(n-4) +54*a(n-5) +12*a(n-6)
%F A234131 k=2: [order 14]
%F A234131 k=3: [order 27]
%F A234131 k=4: [order 78]
%e A234131 Some solutions for n=2 k=4
%e A234131 ..0..1..1..1..0....3..3..2..1..1....3..2..2..2..1....3..3..4..4..4
%e A234131 ..1..0..0..0..0....4..3..2..1..2....3..3..2..2..2....4..4..4..4..5
%e A234131 ..1..1..1..0..1....4..3..2..1..1....2..3..2..3..2....3..3..4..5..4
%K A234131 nonn,tabl
%O A234131 1,1
%A A234131 _R. H. Hardin_, Dec 19 2013

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