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 A303410 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 10
 0, 1, 0, 1, 3, 0, 2, 7, 10, 0, 3, 10, 28, 23, 0, 5, 27, 42, 119, 61, 0, 8, 45, 100, 168, 541, 162, 0, 13, 98, 290, 547, 902, 2327, 421, 0, 21, 193, 730, 2079, 4013, 3256, 10384, 1103, 0, 34, 379, 1700, 6322, 29411, 21361, 15852, 47491, 2890, 0, 55, 778, 4246, 17903 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....1......1......2.......3.........5..........8..........13............21 .0....3......7.....10......27........45.........98.........193...........379 .0...10.....28.....42.....100.......290........730........1700..........4246 .0...23....119....168.....547......2079.......6322.......17903.........53665 .0...61....541....902....4013.....29411.....160247......660748.......3071197 .0..162...2327...3256...21361....236326....1716995.....8688851......56229035 .0..421..10384..15852..115770...2158662...24386918...158640643....1293822589 .0.1103..47491..77904..803911..27002794..497878411..4298730424...50946692110 .0.2890.208616.314276.4667376.250400003.6748940959.74532460229.1222253462556 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) -a(n-4) k=3: [order 18] k=4: [order 72] Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) n=2: a(n) = a(n-1) +3*a(n-2) -4*a(n-4) for n>5 n=3: [order 15] for n>17 n=4: [order 71] for n>72 EXAMPLE Some solutions for n=5 k=4 ..0..1..0..0. .0..1..1..0. .0..1..0..1. .0..0..0..0. .0..0..0..0 ..1..0..1..1. .1..0..0..1. .1..0..1..0. .1..1..1..1. .1..0..1..0 ..0..0..0..0. .1..1..1..1. .0..1..0..1. .1..0..1..0. .0..1..0..1 ..0..1..0..0. .0..1..1..0. .0..0..0..0. .1..1..0..1. .1..1..1..1 ..1..0..1..1. .1..0..0..1. .1..1..1..1. .1..0..1..0. .0..0..0..1 CROSSREFS Column 2 is A185828. Column 4 is A302524. Row 1 is A000045(n-1). Row 2 is A302279. Row 3 is A302529. Sequence in context: A302278 A302728 A302528 * A126671 A209437 A325447 Adjacent sequences:  A303407 A303408 A303409 * A303411 A303412 A303413 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 23 2018 STATUS approved

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Last modified September 23 11:24 EDT 2021. Contains 347612 sequences. (Running on oeis4.)