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 A251037 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction 16
 110, 711, 636, 4050, 6089, 3550, 21720, 45560, 45150, 19112, 110852, 308423, 422538, 304421, 100633, 546600, 1907070, 3433899, 3396593, 1946207, 521227, 2624313, 11102613, 24844850, 32439684, 25346175, 12029009, 2668193, 12343573, 61631550 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......110........711........4050........21720.........110852..........546600 ......636.......6089.......45560.......308423........1907070........11102613 .....3550......45150......422538......3433899.......24844850.......165531421 ....19112.....304421.....3396593.....32439684......267606254......2010619868 ...100633....1946207....25346175....279055227.....2592092409.....21672923484 ...521227...12029009...179902335...2247957615....23202398270....213854374926 ..2668193...72779934..1238480366..17355955112...197532441119...1992180311388 .13542602..434254685..8354406377.130154155397..1622322952743..17797755625080 .68311293.2567561554.55641391371.957718964643.13015173261675.154590936970044 LINKS R. H. Hardin, Table of n, a(n) for n = 1..128 FORMULA Empirical for column k: k=1: [linear recurrence of order 12] k=2: [order 28] k=3: [order 59] for n>60 Empirical for row n: n=1: [linear recurrence of order 13] n=2: [order 32] n=3: [order 60] n=4: [order 98] for n>100 EXAMPLE Some solutions for n=2 k=4 ..0..0..3..0..1....0..3..0..3..0....0..2..1..0..1....2..0..1..0..2 ..0..0..2..1..2....1..2..1..1..3....0..2..2..1..0....2..0..0..1..1 ..0..0..2..2..1....2..3..2..2..2....0..3..3..2..1....2..1..1..3..3 CROSSREFS Sequence in context: A156852 A250536 A250529 * A251038 A074240 A283084 Adjacent sequences:  A251034 A251035 A251036 * A251038 A251039 A251040 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 29 2014 STATUS approved

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Last modified December 2 07:25 EST 2020. Contains 338868 sequences. (Running on oeis4.)