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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
62, 242, 242, 944, 926, 944, 3686, 3540, 3540, 3686, 14402, 13554, 13260, 13554, 14402, 56312, 51950, 49784, 49784, 51950, 56312, 220334, 199340, 187196, 183422, 187196, 199340, 220334, 862706, 765738, 705072, 677138, 677138, 705072, 765738 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

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

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

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

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

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

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

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

..3380192.11336132..38030588.128461544..435728940.1485448976..5084793448

.13252982.43687010.144134184.479146446.1600124066.5373690488.18127421166

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

FORMULA

Empirical for column k:

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

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

k=3: [order 11]

k=4: [order 18]

k=5: [order 31]

EXAMPLE

Some solutions for n=4 k=4

..2..2..0..2..1....0..3..0..1..2....0..0..2..3..2....0..1..2..2..2

..3..1..1..1..2....2..3..2..1..0....1..3..3..2..3....3..2..1..3..1

..1..1..3..1..0....1..0..1..2..3....1..1..3..0..3....1..2..3..3..3

..0..2..2..2..3....0..1..0..3..2....0..2..2..1..2....0..3..2..0..2

..3..3..1..3..2....0..3..0..1..2....0..0..2..3..2....2..3..0..0..0

CROSSREFS

Sequence in context: A100423 A230007 A318561 * A234483 A158067 A045220

Adjacent sequences:  A234487 A234488 A234489 * A234491 A234492 A234493

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 26 2013

STATUS

approved

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Last modified August 20 03:33 EDT 2019. Contains 326139 sequences. (Running on oeis4.)