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A234443 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant stress 1X1 tilings) 9
32, 120, 120, 448, 582, 448, 1680, 2804, 2804, 1680, 6272, 13676, 17200, 13676, 6272, 23520, 66228, 108404, 108404, 66228, 23520, 87808, 324556, 666880, 896112, 666880, 324556, 87808, 329280, 1578036, 4221580, 7165920, 7165920, 4221580, 1578036 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......32.......120........448.........1680...........6272...........23520

.....120.......582.......2804........13676..........66228..........324556

.....448......2804......17200.......108404.........666880.........4221580

....1680.....13676.....108404.......896112........7165920........59991972

....6272.....66228.....666880......7165920.......72539432.......790261148

...23520....324556....4221580.....59991972......790261148.....11533082488

...87808...1578036...26023136....483370700.....8028682984....153582428536

..329280...7767916..165444308...4098064360....88710949848...2303823299344

.1229312..37908724.1021780992..33256428216...904037477472..30988558369076

.4609920.187373548.6523295060.285401797556.10133236760728.477592381790200

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: a(n) = 14*a(n-2)

k=2: a(n) = 5*a(n-1) +24*a(n-2) -130*a(n-3) +36*a(n-4) +80*a(n-5) -32*a(n-6)

k=3: [order 16]

k=4: [order 45]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A203721 A231527 A298201 * A234436 A297461 A297698

Adjacent sequences:  A234440 A234441 A234442 * A234444 A234445 A234446

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 26 2013

STATUS

approved

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Last modified May 12 03:56 EDT 2021. Contains 343810 sequences. (Running on oeis4.)