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 A250797 T(n,k)=Number of (n+1)X(k+1) 0..1 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 15
 10, 24, 24, 54, 66, 58, 118, 162, 180, 140, 252, 376, 482, 490, 338, 530, 838, 1190, 1430, 1336, 816, 1102, 1818, 2776, 3776, 4258, 3646, 1970, 2272, 3868, 6230, 9258, 12062, 12706, 9956, 4756, 4654, 8114, 13598, 21610, 31220, 38676, 37986, 27194, 11482 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....10.....24......54.....118......252......530......1102......2272......4654 ....24.....66.....162.....376......838.....1818......3868......8114.....16842 ....58....180.....482....1190.....2776.....6230.....13598.....29084.....61274 ...140....490....1430....3776.....9258....21610.....48600....106426....228342 ...338...1336....4258...12062....31220....76110....177142....398704....874298 ...816...3646...12706...38676...105954...270598....653880...1517666...3411886 ..1970...9956...37986..124366...361344...968942...2437366...5849556..13519146 ..4756..27194..113694..400616..1236058..3485538...9144752..22741458..54152230 .11482..74288..340562.1292134..4237556.12580830..34478398..88996688.218754226 .27720.202950.1020650.4171276.14549610.45517150.130446176.349951066.889238238 LINKS R. H. Hardin, Table of n, a(n) for n = 1..480 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-2) k=2: a(n) = 4*a(n-1) -3*a(n-2) -2*a(n-3) +2*a(n-4) k=3: a(n) = 6*a(n-1) -10*a(n-2) +11*a(n-4) -6*a(n-5) k=4: a(n) = 8*a(n-1) -20*a(n-2) +8*a(n-3) +33*a(n-4) -36*a(n-5) +8*a(n-7) k=5: [order 9] k=6: [order 11] k=7: [order 13] Empirical for row n: n=1: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) n=2: a(n) = 4*a(n-1) -4*a(n-2) -a(n-3) +2*a(n-4) n=3: a(n) = 5*a(n-1) -8*a(n-2) +3*a(n-3) +3*a(n-4) -2*a(n-5) n=4: a(n) = 4*a(n-1) -2*a(n-2) -9*a(n-3) +9*a(n-4) +6*a(n-5) -8*a(n-6) -a(n-7) +2*a(n-8) n=5: [order 9] n=6: [order 12] n=7: [order 13] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..1..0....0..0..0..0..0....1..1..1..0..1....0..0..0..0..1 ..0..0..0..0..1....0..0..0..0..0....1..1..1..0..0....0..0..0..0..0 ..0..0..0..0..1....0..0..0..0..1....1..1..1..0..1....0..0..0..0..0 ..1..1..1..1..0....0..0..0..0..1....1..1..1..0..1....0..0..1..1..1 ..1..1..1..1..0....0..0..0..0..0....1..1..1..0..1....0..0..1..1..1 CROSSREFS Column 1 is A052542(n+2) Sequence in context: A187621 A231880 A102089 * A250583 A223415 A187629 Adjacent sequences:  A250794 A250795 A250796 * A250798 A250799 A250800 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 27 2014 STATUS approved

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Last modified September 16 20:51 EDT 2021. Contains 347473 sequences. (Running on oeis4.)