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 A239155 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order 12
 1, 2, 1, 7, 2, 7, 24, 7, 55, 17, 88, 24, 868, 208, 96, 328, 88, 12159, 5775, 2778, 340, 1235, 328, 175471, 135766, 209839, 17050, 1639, 4668, 1235, 2519488, 3313304, 12844591, 2709568, 166531, 6623, 17675, 4668, 36221263, 80240064, 821135900, 330311070 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.......2..........7...........24..............88................328 ....1.......2..........7...........24..............88................328 ....7......55........868........12159..........175471............2519488 ...17.....208.......5775.......135766.........3313304...........80240064 ...96....2778.....209839.....12844591.......821135900........52019283568 ..340...17050....2709568....330311070.....42600989632......5427557363908 .1639..166531...63961519..18120156500...5469574400477...1628795409782566 .6623.1221727.1049404191.629468400383.407538214264758.259498303698165490 LINKS R. H. Hardin, Table of n, a(n) for n = 1..113 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) +7*a(n-2) -26*a(n-3) +5*a(n-4) +14*a(n-5) k=2: [order 14] k=3: [order 9] Empirical for row n: n=1: a(n) = 4*a(n-1) +a(n-2) -6*a(n-3) -3*a(n-4) n=2: a(n) = 4*a(n-1) +a(n-2) -6*a(n-3) -3*a(n-4) n=3: a(n) = 14*a(n-1) +14*a(n-2) -124*a(n-3) -6*a(n-4) +90*a(n-5) -27*a(n-6) n=4: [order 14] n=5: [order 57] EXAMPLE Some solutions for n=4 k=4 ..0..1..1..0..2....0..1..1..2..3....0..1..2..0..2....0..1..2..0..3 ..0..1..1..0..2....0..1..1..2..3....0..1..2..0..2....0..1..2..0..3 ..0..1..1..0..2....0..2..1..2..1....2..1..2..1..0....0..1..2..0..3 ..0..3..1..3..1....3..2..0..0..1....2..0..1..1..0....1..2..1..2..3 ..0..3..1..3..1....3..2..0..0..1....2..0..1..1..0....1..2..1..2..3 CROSSREFS Row 1 and 2 are A221454(n+1) Sequence in context: A213053 A200236 A292191 * A097411 A134929 A160413 Adjacent sequences:  A239152 A239153 A239154 * A239156 A239157 A239158 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 11 2014 STATUS approved

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Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)