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A235449 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise 8
16, 58, 58, 208, 382, 208, 742, 2476, 2476, 742, 2644, 15936, 28962, 15936, 2644, 9418, 102376, 335898, 335898, 102376, 9418, 33544, 657290, 3886120, 7017768, 3886120, 657290, 33544, 119470, 4219322, 44920240, 146213244, 146213244, 44920240 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......16.........58..........208.............742...............2644

......58........382.........2476...........15936.............102376

.....208.......2476........28962..........335898............3886120

.....742......15936.......335898.........7017768..........146213244

....2644.....102376......3886120.......146213244.........5485253042

....9418.....657290.....44920240......3043145826.......205551169550

...33544....4219322....519099694.....63315473350......7699719982722

..119470...27083638...5998218844...1317184566572....288383414393138

..425500..173846264..69307887110..27401048899854..10800536489561114

.1515442.1115891712.800828757910.570010121664030.404495358726610494

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3)

k=2: a(n) = 8*a(n-1) -8*a(n-2) -16*a(n-3) +12*a(n-4) +14*a(n-5) -a(n-6) -2*a(n-7)

k=3: [order 19]

k=4: [order 53]

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..1..0....0..0..1..0..1....0..0..0..0..0....0..0..1..0..1

..0..1..1..1..0....0..0..0..1..1....1..1..0..1..0....0..1..0..1..0

..1..1..0..1..0....0..0..1..0..0....0..0..0..1..0....0..1..0..0..1

..0..0..1..0..0....0..1..1..1..1....0..1..0..1..0....0..0..0..1..0

CROSSREFS

Column 1 is A180143(n+1)

Sequence in context: A316443 A223313 A235679 * A235736 A235517 A253428

Adjacent sequences:  A235446 A235447 A235448 * A235450 A235451 A235452

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 10 2014

STATUS

approved

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Last modified June 18 19:47 EDT 2021. Contains 345120 sequences. (Running on oeis4.)