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A235679 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 columnwise and nonincreasing rowwise 8
16, 58, 58, 208, 380, 208, 742, 2456, 2456, 742, 2644, 15790, 28584, 15790, 2644, 9418, 101398, 330840, 330840, 101398, 9418, 33544, 650928, 3824528, 6894210, 3824528, 650928, 33544, 119470, 4178316, 44196144, 143484144, 143484144, 44196144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

......58........380.........2456...........15790.............101398

.....208.......2456........28584..........330840............3824528

.....742......15790.......330840.........6894210..........143484144

....2644.....101398......3824528.......143484144.........5376199876

....9418.....650928.....44196144......2985166430.......201368802704

...33544....4178316....510685176.....62100488254......7541722428052

..119470...26820102...5900818062...1291848133836....282448223982692

..425500..172154058..68181837738..26873571586520..10578025710796398

.1515442.1105028596.787815537064.559034577488572.396159194076516486

LINKS

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

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) -9*a(n-2) -9*a(n-3) +10*a(n-4) +3*a(n-5) -2*a(n-6)

k=3: [order 11]

k=4: [order 22]

k=5: [order 46]

k=6: [order 87]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Column 1 is A180143(n+1)

Sequence in context: A187277 A316443 A223313 * A235449 A235736 A235517

Adjacent sequences:  A235676 A235677 A235678 * A235680 A235681 A235682

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2014

STATUS

approved

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Last modified November 11 15:36 EST 2019. Contains 329016 sequences. (Running on oeis4.)