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 A266033 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself. 14
 1, 3, 1, 5, 11, 1, 11, 50, 55, 1, 26, 315, 481, 263, 1, 55, 2142, 5594, 4659, 1248, 1, 119, 13796, 121029, 118489, 45361, 5959, 1, 263, 89487, 2045306, 8260441, 2482216, 440405, 28399, 1, 573, 578659, 33026298, 408513208, 576560236, 52086421, 4281953 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1.......3..........5.............11.................26......................55 .1......11.........50............315...............2142...................13796 .1......55........481...........5594.............121029.................2045306 .1.....263.......4659.........118489............8260441...............408513208 .1....1248......45361........2482216..........576560236.............82171346791 .1....5959.....440405.......52086421........40462691139..........16683384355551 .1...28399....4281953.....1092258910......2834665076351........3378465528248312 .1..135383...41605113....22909266015....198722506983924......684927787385220826 .1..645407..404371841...480473869537..13929598180007373...138808963888717658013 .1.3076736.3929676961.10077157027608.976418236686388550.28134602812633017755802 LINKS R. H. Hardin, Table of n, a(n) for n = 1..143 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 3*a(n-1) +7*a(n-2) +7*a(n-3) -a(n-4) k=3: a(n) = 5*a(n-1) +46*a(n-2) +6*a(n-3) -72*a(n-4) k=4: [order 16] for n>17 k=5: [order 38] for n>41 Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) n=2: [order 26] EXAMPLE Some solutions for n=4 k=4 ..0..0..3..1....0..0..1..1....0..0..3..1....0..2..3..0....0..1..1..2 ..1..1..0..1....2..1..0..0....2..0..0..0....1..0..0..2....2..0..0..0 ..1..0..1..1....2..0..0..1....2..0..4..1....1..4..0..1....2..1..4..1 ..0..3..0..0....1..1..3..0....1..2..0..1....0..0..3..0....2..0..0..0 CROSSREFS Row 1 is A196423. Sequence in context: A324017 A063853 A219078 * A105064 A073496 A176122 Adjacent sequences:  A266030 A266031 A266032 * A266034 A266035 A266036 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2015 STATUS approved

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Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)