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.

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

Offset: 1

Author

R. H. Hardin, Jan 13 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A180143(n+1)

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]