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A235098
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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 4, with no adjacent elements equal (constant stress tilted 1X1 tilings)
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9
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80, 256, 256, 808, 656, 808, 2580, 1728, 1728, 2580, 8184, 4820, 3832, 4820, 8184, 26164, 13624, 9460, 9460, 13624, 26164, 83224, 39884, 23792, 21264, 23792, 39884, 83224, 266572, 117488, 63884, 48844, 48844, 63884, 117488, 266572, 849688, 354588
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OFFSET
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1,1
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COMMENTS
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Table starts
......80.....256.....808....2580....8184....26164....83224...266572....849688
.....256.....656....1728....4820...13624....39884...117488...354588...1072888
.....808....1728....3832....9460...23792....63884...173440...491596...1403944
....2580....4820....9460...21264...48844...121768...306532...813576...2175660
....8184...13624...23792...48844..102336...238060...556560..1391140...3490704
...26164...39884...63884..121768..238060...524728..1160340..2765568...6585764
...83224..117488..173440..306532..556560..1160340..2420288..5516124..12489280
..266572..354588..491596..813576.1391140..2765568..5516124.12147808..26512228
..849688.1072888.1403944.2175660.3490704..6585764.12489280.26512228..55604120
.2726852.3306172.4134548.6047320.9185772.16502816.29986228.61672784.125443708
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..285
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FORMULA
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Empirical for column k (the k=4..7 recurrence works also for k=1..3; apparently every row and column satisfies the same order 23 recurrence):
k=1: a(n) = 3*a(n-1) +13*a(n-2) -39*a(n-3) -26*a(n-4) +78*a(n-5)
k=2: [order 16]
k=3: [order 22]
k=4..7: [same order 23]
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EXAMPLE
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Some solutions for n=4 k=4
..0..3..2..0..1....3..0..3..1..3....2..3..0..3..1....1..2..1..4..2
..1..0..3..5..2....1..2..1..3..1....4..1..2..1..3....4..1..4..3..5
..0..3..2..0..1....4..1..4..2..4....3..4..1..4..2....2..3..2..5..3
..1..0..3..5..2....1..2..1..3..1....4..1..2..1..3....4..1..4..3..5
..2..5..4..2..3....4..1..4..2..4....3..4..1..4..2....2..3..2..5..3
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CROSSREFS
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Sequence in context: A202439 A203355 A203348 * A235091 A306434 A234890
Adjacent sequences: A235095 A235096 A235097 * A235099 A235100 A235101
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Jan 03 2014
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STATUS
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approved
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