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 A269011 T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. 13
 0, 1, 0, 2, 4, 0, 5, 8, 15, 0, 10, 36, 46, 48, 0, 20, 88, 305, 224, 145, 0, 38, 272, 1078, 2136, 1066, 420, 0, 71, 696, 4948, 10976, 14240, 4952, 1183, 0, 130, 1900, 18210, 73568, 109058, 91048, 22654, 3264, 0, 235, 4856, 73277, 390064, 1049588, 1053432, 566656 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0.....1.......2.........5.........10...........20.............38 .0.....4.......8........36.........88..........272............696 .0....15......46.......305.......1078.........4948..........18210 .0....48.....224......2136......10976........73568.........390064 .0...145....1066.....14240.....109058......1049588........8134304 .0...420....4952.....91048....1053432.....14382480......164351184 .0..1183...22654....566656...10002542....192100836.....3258530608 .0..3264..102416...3456320...93733440...2516546784....63679868768 .0..8865..458674..20760192..869397882..32481770852..1230707111424 .0.23780.2038328.123186784.7996744280.414339126768.23573013881888 LINKS R. H. Hardin, Table of n, a(n) for n = 1..721 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -a(n-4) k=3: a(n) = 10*a(n-1) -31*a(n-2) +24*a(n-3) +21*a(n-4) -18*a(n-5) -9*a(n-6) k=4: a(n) = 12*a(n-1) -40*a(n-2) +8*a(n-3) +92*a(n-4) -32*a(n-5) -64*a(n-6) for n>7 k=5: [order 12] k=6: [order 14] k=7: [order 24] for n>25 Empirical for row n: n=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) n=2: a(n) = 2*a(n-1) +5*a(n-2) -6*a(n-3) -9*a(n-4) n=3: a(n) = 4*a(n-1) +8*a(n-2) -34*a(n-3) -16*a(n-4) +60*a(n-5) -25*a(n-6) n=4: [order 8] n=5: [order 14] n=6: [order 20] n=7: [order 32] EXAMPLE Some solutions for n=4 k=4 ..1..1..0..0. .0..0..1..0. .1..0..1..1. .0..1..0..0. .0..0..0..0 ..0..0..0..1. .0..0..1..0. .1..0..0..0. .0..0..1..0. .1..0..0..0 ..0..0..0..0. .1..0..0..0. .1..0..0..1. .0..0..1..0. .0..1..0..0 ..0..1..0..1. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..0..0 CROSSREFS Column 2 is A093967. Row 1 is A001629. Sequence in context: A144810 A300753 A319275 * A274086 A255982 A256061 Adjacent sequences:  A269008 A269009 A269010 * A269012 A269013 A269014 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 17 2016 STATUS approved

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Last modified August 3 08:10 EDT 2020. Contains 336197 sequences. (Running on oeis4.)