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A234490 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1X1 tilings) 9

%I

%S 62,242,242,944,926,944,3686,3540,3540,3686,14402,13554,13260,13554,

%T 14402,56312,51950,49784,49784,51950,56312,220334,199340,187196,

%U 183422,187196,199340,220334,862706,765738,705072,677138,677138,705072,765738

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

%C Table starts

%C .......62......242.......944......3686......14402......56312......220334

%C ......242......926......3540.....13554......51950.....199340......765738

%C ......944.....3540.....13260.....49784.....187196.....705072.....2659824

%C .....3686....13554.....49784....183422.....677138....2505400.....9288710

%C ....14402....51950....187196....677138....2455350....8928348....32545706

%C ....56312...199340....705072...2505400....8928348...31925284...114484712

%C ...220334...765738...2659824...9288710...32545706..114484712...404043442

%C ...862706..2944686..10049936..34509914..118945534..411823840..1431125914

%C ..3380192.11336132..38030588.128461544..435728940.1485448976..5084793448

%C .13252982.43687010.144134184.479146446.1600124066.5373690488.18127421166

%H R. H. Hardin, <a href="/A234490/b234490.txt">Table of n, a(n) for n = 1..179</a>

%F Empirical for column k:

%F k=1: a(n) = 7*a(n-1) -9*a(n-2) -12*a(n-3)

%F k=2: a(n) = 10*a(n-1) -28*a(n-2) +a(n-3) +54*a(n-4) +24*a(n-5)

%F k=3: [order 11]

%F k=4: [order 18]

%F k=5: [order 31]

%e Some solutions for n=4 k=4

%e ..2..2..0..2..1....0..3..0..1..2....0..0..2..3..2....0..1..2..2..2

%e ..3..1..1..1..2....2..3..2..1..0....1..3..3..2..3....3..2..1..3..1

%e ..1..1..3..1..0....1..0..1..2..3....1..1..3..0..3....1..2..3..3..3

%e ..0..2..2..2..3....0..1..0..3..2....0..2..2..1..2....0..3..2..0..2

%e ..3..3..1..3..2....0..3..0..1..2....0..0..2..3..2....2..3..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 26 2013

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Last modified September 17 08:31 EDT 2019. Contains 327127 sequences. (Running on oeis4.)