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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 August 9 10:37 EDT 2024. Contains 375040 sequences. (Running on oeis4.)