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 A241328 T(n,k)=Number of nXk 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order 11
 1, 1, 2, 2, 8, 5, 5, 59, 85, 15, 14, 530, 2344, 1030, 51, 41, 4877, 68935, 95144, 13011, 187, 122, 45057, 2034543, 8949808, 3875244, 165924, 715, 365, 416533, 60066019, 842185933, 1162535788, 157912026, 2121033, 2795, 1094, 3851085, 1773370241 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1.......1..........2..............5................14....................41 ...2.......8.........59............530..............4877.................45057 ...5......85.......2344..........68935...........2034543..............60066019 ..15....1030......95144........8949808.........842185933...........79254376889 ..51...13011....3875244.....1162535788......348722168314.......104609549355169 .187..165924..157912026...151022716125...144410575985227....138095118530911728 .715.2121033.6435036610.19619065042282.59802363257355728.182299462522915741748 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 7*a(n-1) -14*a(n-2) +8*a(n-3) k=2: [order 9] for n>10 k=3: [order 15] k=4: [order 53] Empirical for row n: n=1: a(n) = 4*a(n-1) -3*a(n-2) for n>3 n=2: a(n) = 12*a(n-1) -26*a(n-2) +2*a(n-3) +28*a(n-4) -6*a(n-5) -9*a(n-6) for n>8 n=3: [order 11] for n>13 n=4: [order 36] for n>38 EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1....0..1..2..1....0..1..2..1....0..1..0..2....0..1..0..1 ..1..0..1..2....1..0..2..3....0..2..3..0....1..2..0..1....2..0..3..2 ..1..0..3..0....0..2..0..1....1..3..2..3....3..2..1..3....3..1..2..0 CROSSREFS Column 1 is A007581(n-1) Row 1 is A007051(n-2) Sequence in context: A075103 A021818 A336198 * A223041 A024558 A238452 Adjacent sequences:  A241325 A241326 A241327 * A241329 A241330 A241331 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 19 2014 STATUS approved

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Last modified August 4 18:59 EDT 2020. Contains 336202 sequences. (Running on oeis4.)