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A234333 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 1 (constant stress 1X1 tilings) 9
80, 432, 432, 2368, 3296, 2368, 13056, 25728, 25728, 13056, 71936, 203008, 287888, 203008, 71936, 397056, 1603680, 3271560, 3271560, 1603680, 397056, 2188288, 12713312, 37234216, 53812604, 37234216, 12713312, 2188288, 12079104, 100679584 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......80.......432........2368.........13056...........71936............397056

......432......3296.......25728........203008.........1603680..........12713312

.....2368.....25728......287888.......3271560........37234216.........425662432

....13056....203008.....3271560......53812604.......886832036.......14698619604

....71936...1603680....37234216.....886832036.....21167182224......508700005648

...397056..12713312...425662432...14698619604....508700005648....17748461638244

..2188288.100679584..4858165384..243143542208..12196560180032...617580751794644

.12079104.799588512.55631535036.4038567639984.293794019734704.21603778650646796

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

FORMULA

Empirical for column k:

k=1: a(n) = 32*a(n-2) -48*a(n-4)

k=2: [order 11]

k=3: [order 48]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A045666 A045657 A273292 * A234326 A085774 A233353

Adjacent sequences:  A234330 A234331 A234332 * A234334 A234335 A234336

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 23 2013

STATUS

approved

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Last modified December 9 02:44 EST 2021. Contains 349625 sequences. (Running on oeis4.)