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 A266055 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself. 14
 1, 3, 1, 2, 7, 1, 7, 12, 35, 1, 19, 58, 20, 176, 1, 35, 598, 302, 54, 819, 1, 77, 4427, 10310, 4203, 120, 3927, 1, 176, 26350, 127492, 624720, 41919, 284, 18711, 1, 377, 164148, 1590691, 14337385, 27764427, 406412, 660, 89179, 1, 819, 1074794, 20375630 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1....3...2......7.........19...........35.............77...............176 .1....7..12.....58........598.........4427..........26350............164148 .1...35..20....302......10310.......127492........1590691..........20375630 .1..176..54...4203.....624720.....14337385......454759923.......21604580859 .1..819.120..41919...27764427...1550545435...117167373425....15587739999833 .1.3927.284.406412.1354845965.162959704686.30258541759225.12768467508350730 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) = 2*a(n-1) +2*a(n-2) -2*a(n-3) -2*a(n-4) k=4: [order 10] for n>12 k=5: [order 37] for n>40 k=6: [order 85] for n>89 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] n=3: [order 94] for n>99 EXAMPLE Some solutions for n=4 k=4 ..1..0..3..0....0..3..1..1....0..2..3..0....1..0..2..0....0..3..3..0 ..1..2..4..0....0..3..4..1....2..1..4..0....1..3..4..1....0..3..4..0 ..2..2..4..0....0..4..1..2....0..4..2..0....0..3..0..1....0..4..2..1 ..1..0..3..0....0..3..0..1....0..3..2..0....0..3..2..0....0..3..0..1 CROSSREFS Row 1 is A196537. Sequence in context: A331789 A308001 A191862 * A074305 A151855 A186366 Adjacent sequences:  A266052 A266053 A266054 * A266056 A266057 A266058 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2015 STATUS approved

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Last modified November 28 05:30 EST 2021. Contains 349401 sequences. (Running on oeis4.)