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A234882 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
32, 68, 68, 128, 148, 128, 268, 268, 268, 268, 512, 628, 472, 628, 512, 1068, 1188, 1116, 1116, 1188, 1068, 2048, 2944, 2096, 3336, 2096, 2944, 2048, 4268, 5684, 5316, 6364, 6364, 5316, 5684, 4268, 8192, 14604, 10240, 22748, 12208, 22748, 10240, 14604, 8192 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....32....68....128.....268.....512.....1068......2048.......4268.......8192

....68...148....268.....628....1188.....2944......5684......14604......28492

...128...268....472....1116....2096.....5316.....10240......27060......52744

...268...628...1116....3336....6364....22748.....44540.....178572.....353428

...512..1188...2096....6364...12208....44348.....87312.....354132.....703104

..1068..2944...5316...22748...44348...261384....518988....3695496....7370908

..2048..5684..10240...44540...87312...518988...1035792....7389460...14782992

..4268.14604..27060..178572..354132..3695496...7389460...98517200..197023228

..8192.28492..52744..353428..703104..7370908..14782992..197023228..394703128

.17068.74816.142876.1512256.3038716.57766200.115949340.2946513328.5899223932

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-2) -4*a(n-4)

k=2: [order 9]

k=3: [order 11]

k=4: [order 19]

k=5: [order 23]

k=6: [order 31]

k=7: [order 35]

EXAMPLE

Some solutions for n=4 k=4

..1..0..1..0..1....2..4..3..4..2....3..4..3..4..3....1..0..3..0..1

..4..2..4..2..4....0..3..1..3..0....1..3..1..3..1....4..2..4..2..4

..3..0..3..0..1....2..4..3..4..2....3..4..3..4..3....1..0..1..0..1

..4..2..4..2..4....1..2..0..2..1....0..2..0..2..0....4..2..4..2..4

..1..0..1..0..3....2..4..1..4..2....1..4..3..4..3....3..0..1..0..3

CROSSREFS

Sequence in context: A045048 A132773 A116349 * A043155 A039332 A043935

Adjacent sequences:  A234879 A234880 A234881 * A234883 A234884 A234885

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)