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A235258 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9

%I

%S 184,744,744,2672,2592,2672,10820,8328,8328,10820,39680,30300,24232,

%T 30300,39680,161060,102000,80812,80812,102000,161060,600928,382036,

%U 251656,247368,251656,382036,600928,2443916,1330480,878988,717452,717452

%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant stress tilted 1X1 tilings)

%C Table starts

%C ......184......744......2672.....10820.....39680.....161060.....600928

%C ......744.....2592......8328.....30300....102000.....382036....1330480

%C .....2672.....8328.....24232.....80812....251656.....878988....2873128

%C ....10820....30300.....80812....247368....717452....2337832....7200188

%C ....39680...102000....251656....717452...1951752....5990204...17480904

%C ...161060...382036....878988...2337832...5990204...17318888...47995084

%C ...600928..1330480...2873128...7200188..17480904...47995084..126993640

%C ..2443916..5080484..10362212..24526880..56590772..147612912..373324260

%C ..9247456.18163048..35132248..79038828.174061880..434010540.1053946488

%C .37667316.70306060.129681452.278130808.586251132.1398866408.3264942732

%H R. H. Hardin, <a href="/A235258/b235258.txt">Table of n, a(n) for n = 1..160</a>

%F Empirical for column k (the k=4..5 recurrence also works for k=1..3; apparently all rows and columns satisfy the same order 58 recurrence):

%F k=1: a(n) = 43*a(n-2) -617*a(n-4) +3073*a(n-6) -1762*a(n-8) +264*a(n-10)

%F k=2: [order 40]

%F k=3: [order 57]

%F k=4..5: [same order 58 recurrence]

%e Some solutions for n=3 k=4

%e ..3..0..5..1..5....6..3..7..2..6....5..1..7..1..7....1..4..0..5..2

%e ..1..5..3..6..3....2..6..3..5..2....1..4..3..4..3....5..1..4..2..6

%e ..4..1..6..2..6....5..2..6..1..5....4..0..6..0..6....3..6..2..7..4

%e ..2..6..4..7..4....3..7..4..6..3....3..6..5..6..5....5..1..4..2..6

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified September 18 00:01 EDT 2021. Contains 347489 sequences. (Running on oeis4.)