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 A269214 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once. 13
 0, 4, 0, 24, 96, 0, 108, 768, 1152, 0, 432, 6528, 18048, 11424, 0, 1620, 49536, 308544, 361728, 103488, 0, 5832, 360960, 4744704, 12548544, 6712704, 889056, 0, 20412, 2546304, 70371048, 394072704, 474091776, 118872576, 7375872, 0, 69984, 17563392 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .0........4..........24............108...............432................1620 .0.......96.........768...........6528.............49536..............360960 .0.....1152.......18048.........308544...........4744704............70371048 .0....11424......361728.......12548544.........394072704.........11985002256 .0...103488.....6712704......474091776.......30541426560.......1910809190712 .0...889056...118872576....17118725376.....2267772823680.....292321215814512 .0..7375872..2039727744...599456856000...163535201141376...43468685827935816 .0.59698464.34214296320.20531285093184.11544796423498368.6331185189881558208 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 14*a(n-1) -49*a(n-2) for n>3 k=3: a(n) = 30*a(n-1) -237*a(n-2) +180*a(n-3) -36*a(n-4) for n>5 k=4: [order 6] for n>7 k=5: [order 20] for n>21 k=6: [order 42] for n>43 Empirical for row n: n=1: a(n) = 6*a(n-1) -9*a(n-2) n=2: a(n) = 10*a(n-1) -13*a(n-2) -60*a(n-3) -36*a(n-4) n=3: [order 8] n=4: [order 20] n=5: [order 52] for n>53 EXAMPLE Some solutions for n=3 k=4 ..2..2..3..2. .2..2..2..3. .0..1..0..2. .0..0..0..2. .2..2..0..0 ..0..2..0..2. .0..0..1..0. .1..1..3..0. .0..1..2..0. .0..0..2..3 ..2..1..0..1. .0..1..0..1. .0..1..0..2. .0..0..0..0. .0..0..1..3 CROSSREFS Column 2 is A269091. Row 1 is A120908. Sequence in context: A242027 A329891 A057402 * A269276 A172394 A172395 Adjacent sequences:  A269211 A269212 A269213 * A269215 A269216 A269217 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2016 STATUS approved

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Last modified August 7 22:44 EDT 2020. Contains 336279 sequences. (Running on oeis4.)