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A237557 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 9
81, 312, 312, 1240, 1668, 1240, 4752, 8764, 8764, 4752, 19128, 44668, 60002, 44668, 19128, 72736, 224948, 343356, 343356, 224948, 72736, 290112, 1181206, 2403292, 3207808, 2403292, 1181206, 290112, 1110080, 6170564, 16373120, 31949604 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81.......312........1240..........4752...........19128.............72736

......312......1668........8764.........44668..........224948...........1181206

.....1240......8764.......60002........343356.........2403292..........16373120

.....4752.....44668......343356.......3207808........31949604.........343405228

....19128....224948.....2403292......31949604.......501667350........7491413632

....72736...1181206....16373120.....343405228......7491413632......184415543478

...290112...6170564...122961380....3451915208....121479741228.....4464911984580

..1110080..31538382...785426128...35706407872...1880267004328...111924132471320

..4459296.160690160..5684118308..366179841668..31026163220506..2597291507415400

.16979328.838194016.38591882672.3961978247404.474035056075552.65416086570517240

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

FORMULA

Empirical for column k:

k=1: a(n) = 192*a(n-4) +608*a(n-6) +400*a(n-8) for n>9

k=2: [order 14]

k=3: [order 44] for n>49

k=4: [order 90] for n>94

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A183994 A237703 A237696 * A237550 A237567 A237560

Adjacent sequences:  A237554 A237555 A237556 * A237558 A237559 A237560

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 09 2014

STATUS

approved

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Last modified November 29 11:46 EST 2021. Contains 349416 sequences. (Running on oeis4.)