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 A231343 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order 7
 3, 4, 4, 7, 9, 7, 12, 22, 22, 12, 24, 59, 96, 59, 24, 48, 159, 453, 453, 159, 48, 103, 439, 2302, 3572, 2302, 439, 103, 222, 1236, 12052, 30269, 30269, 12052, 1236, 222, 493, 3527, 65326, 259011, 465033, 259011, 65326, 3527, 493, 1100, 10184, 358429 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....3.....4........7........12.........24.........48........103..........222 ....4.....9.......22........59........159........439.......1236.........3527 ....7....22.......96.......453.......2302......12052......65326.......358429 ...12....59......453......3572......30269.....259011....2278003.....20081717 ...24...159.....2302.....30269.....465033....6871838..105988195...1613424264 ...48...439....12052....259011....6871838..169968099.4400551358.111907856129 ..103..1236....65326...2278003..105988195.4400551358 ..222..3527...358429..20081717.1613424264 ..493.10184..1989453.178468093 .1100.29679.11087559 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +a(n-4) +3*a(n-5) k=2: a(n) = 5*a(n-1) -6*a(n-2) +2*a(n-3) -8*a(n-4) +6*a(n-5) -a(n-6) +3*a(n-7) k=3: [order 34] k=4: [order 97] for n>98 EXAMPLE Some solutions for n=4 k=4 ..0..0..0..0..0....0..0..0..0..0....0..0..1..1..1....0..1..1..1..1 ..1..1..0..0..0....0..0..1..1..1....0..0..1..1..1....0..1..1..1..1 ..1..1..2..2..2....0..0..1..1..1....2..2..2..0..0....0..1..1..0..0 ..3..3..2..2..2....2..2..2..2..1....2..2..2..0..0....0..2..2..0..0 ..3..3..2..2..2....2..2..2..2..1....3..3..3..3..3....0..2..2..2..2 CROSSREFS Sequence in context: A014406 A154426 A231219 * A121924 A241740 A342332 Adjacent sequences:  A231340 A231341 A231342 * A231344 A231345 A231346 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 07 2013 STATUS approved

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)