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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 June 18 03:46 EDT 2021. Contains 345098 sequences. (Running on oeis4.)