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A234161 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1 9

%I

%S 46,226,226,1108,2210,1108,5446,21428,21428,5446,26794,208530,411712,

%T 208530,26794,131896,2031286,7952532,7952532,2031286,131896,649450,

%U 19801468,153793284,305867942,153793284,19801468,649450,3198322

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Table starts

%C .......46.........226...........1108..............5446................26794

%C ......226........2210..........21428............208530..............2031286

%C .....1108.......21428.........411712...........7952532............153793284

%C .....5446......208530........7952532.........305867942..........11788446834

%C ....26794.....2031286......153793284.......11788446834.........906740091154

%C ...131896....19801468.....2976757624......454899880956.......69879798953496

%C ...649450...193116778....57647946980....17566272589090.....5391006112450218

%C ..3198322..1883946390..1116833738020...678657896630666...416172275582037586

%C .15751828.18382182848.21642612331360.26228432144965180.32142152588267208940

%H R. H. Hardin, <a href="/A234161/b234161.txt">Table of n, a(n) for n = 1..264</a>

%F Empirical for column k:

%F k=1: a(n) = 7*a(n-1) -9*a(n-2) -6*a(n-3)

%F k=2: a(n) = 16*a(n-1) -59*a(n-2) -31*a(n-3) +118*a(n-4) +35*a(n-5) -10*a(n-6)

%F k=3: [order 11]

%F k=4: [order 26]

%F k=5: [order 53]

%e Some solutions for n=2 k=4

%e ..0..1..1..2..2....1..2..1..1..2....0..1..1..1..1....0..0..0..1..0

%e ..1..1..1..1..2....1..1..1..1..1....1..0..1..0..0....1..0..1..1..1

%e ..1..1..2..2..2....0..1..1..1..1....0..0..1..0..0....0..0..0..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 20 2013

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Last modified October 27 22:24 EDT 2021. Contains 348305 sequences. (Running on oeis4.)