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 A234549 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant stress 1X1 tilings) 7

%I

%S 208,1212,1212,7056,6896,7056,41112,39188,39188,41112,239648,222988,

%T 217304,222988,239648,1397712,1269812,1207448,1207448,1269812,1397712,

%U 8156096,7237508,6716768,6556488,6716768,7237508,8156096,47619552

%N T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant stress 1X1 tilings)

%C Table starts

%C ........208.......1212........7056.......41112......239648.....1397712

%C .......1212.......6896.......39188......222988.....1269812.....7237508

%C .......7056......39188......217304.....1207448.....6716768....37416120

%C ......41112.....222988.....1207448.....6556488....35656244...194284128

%C .....239648....1269812.....6716768....35656244...189641952..1011141204

%C ....1397712....7237508....37416120...194284128..1011141204..5278556248

%C ....8156096...41285540...208681224..1060310544..5401882616.27621051428

%C ...47619552..235717236..1165446648..5797286912.28926522000

%C ..278172288.1346930052..6516597192.31746284736

%C .1625861952.7703391252.36485687312

%H R. H. Hardin, <a href="/A234549/b234549.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=1: a(n) = 6*a(n-1) +34*a(n-2) -204*a(n-3) -40*a(n-4) +240*a(n-5)

%F k=2: [order 15]

%F k=3: [order 49]

%e Some solutions for n=2 k=4

%e ..0..4..0..5..0....0..3..2..4..4....0..2..5..5..3....3..4..1..5..0

%e ..1..2..1..3..1....5..5..1..0..3....3..2..2..5..0....4..2..2..3..1

%e ..4..2..4..3..4....4..1..0..2..2....5..1..4..4..2....1..2..5..3..4

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 28 2013

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Last modified December 4 17:32 EST 2021. Contains 349526 sequences. (Running on oeis4.)