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%I #4 Dec 18 2013 21:06:00
%S 61,307,307,1543,3059,1543,7783,30263,30263,7783,39331,300597,591711,
%T 300597,39331,199003,2990333,11637549,11637549,2990333,199003,1007683,
%U 29784763,229271097,454996327,229271097,29784763,1007683,5105107
%N T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
%C Table starts
%C .....61......307.......1543.........7783...........39331............199003
%C ....307.....3059......30263.......300597.........2990333..........29784763
%C ...1543....30263.....591711.....11637549.......229271097........4522455227
%C ...7783...300597...11637549....454996327.....17838321119......700485517781
%C ..39331..2990333..229271097..17838321119...1394283842243...109246451313313
%C .199003.29784763.4522455227.700485517781.109246451313313.17100147398257787
%H R. H. Hardin, <a href="/A234036/b234036.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: a(n) = 7*a(n-1) -6*a(n-2) -18*a(n-3) -6*a(n-4)
%F k=2: [order 9]
%F k=3: [order 16]
%F k=4: [order 44]
%F k=5: [order 95]
%e Some solutions for n=2 k=4
%e ..0..1..1..2..2....1..1..2..1..1....1..2..2..3..2....1..2..2..3..4
%e ..1..0..1..1..1....1..2..2..1..2....1..2..3..3..3....1..2..2..3..3
%e ..0..0..1..1..0....2..2..1..2..2....2..2..2..2..3....2..1..2..3..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 18 2013
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