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 A253367 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically 9
 152, 272, 272, 560, 424, 560, 976, 960, 960, 976, 1904, 1536, 2992, 1536, 1904, 3472, 3136, 5280, 5280, 3136, 3472, 6544, 5664, 13800, 8904, 13800, 5664, 6544, 12048, 10496, 27072, 23936, 23936, 27072, 10496, 12048, 22704, 20000, 63496, 53128, 76840 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...152...272....560.....976....1904.....3472......6544.....12048......22704 ...272...424....960....1536....3136.....5664.....10496.....20000......36160 ...560...960...2992....5280...13800....27072.....63496....130464.....297288 ...976..1536...5280....8904...23936....53128....112864....286888.....563680 ..1904..3136..13800...23936...76840...175328....438504...1151296....2656232 ..3472..5664..27072...53128..175328...520888...1255456...4289736....9455136 ..6544.10496..63496..112864..438504..1255456...3424264..12086016...30463848 .12048.20000.130464..286888.1151296..4289736..12086016..51091912..132958016 .22704.36160.297288..563680.2656232..9455136..30463848.132958016..419412744 .41680.68672.612480.1423176.7032608.31254904.105411360.528171592.1709806624 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1057 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-2) -3*a(n-4) +4*a(n-6) k=2: a(n) = 5*a(n-2) -8*a(n-4) +8*a(n-6) +4*a(n-8) k=3: a(n) = 7*a(n-2) -15*a(n-4) +17*a(n-6) +16*a(n-8) for n>11 k=4: [order 14] for n>16 k=5: [order 16] for n>19 k=6: [order 22] for n>26 k=7: [order 30] for n>33 EXAMPLE Some solutions for n=4 k=4 ..1..0..1..0..1..1....1..1..1..1..0..1....0..0..0..0..1..0....1..0..0..0..1..1 ..0..0..0..0..0..0....1..0..1..1..1..0....0..1..0..1..0..0....0..1..0..1..0..0 ..0..0..1..0..1..0....0..1..0..1..0..1....0..0..0..0..0..0....1..0..0..0..0..0 ..0..1..0..0..0..0....1..1..1..1..1..0....0..1..0..1..0..1....0..1..0..1..0..1 ..0..0..1..0..1..0....0..1..0..1..0..1....1..0..0..0..0..0....0..0..0..0..0..0 ..1..1..0..1..0..0....1..0..1..1..0..0....1..0..0..1..0..1....0..1..0..1..0..1 CROSSREFS Sequence in context: A234348 A185394 A097640 * A253360 A252363 A248816 Adjacent sequences: A253364 A253365 A253366 * A253368 A253369 A253370 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 30 2014 STATUS approved

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Last modified November 29 03:03 EST 2023. Contains 367422 sequences. (Running on oeis4.)