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 A231940 T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors 10
 4, 4, 16, 16, 84, 64, 50, 668, 318, 256, 144, 5070, 8426, 1328, 1024, 422, 42104, 206808, 152180, 6064, 4096, 1268, 326010, 4736026, 11159202, 2462572, 26918, 16384, 3823, 2511252, 94464137, 691418144, 518972238, 36885538, 116909, 65536, 11472 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......4.......4............16...............50................144 ......16......84...........668.............5070..............42104 ......64.....318..........8426...........206808............4736026 .....256....1328........152180.........11159202..........691418144 ....1024....6064.......2462572........518972238........86074040354 ....4096...26918......36885538......23280281589.....10417626293694 ...16384..116909.....586971925....1098832065447...1320620287047433 ...65536..511264....9394148948...52087504055935.167980047970274816 ..262144.2248196..147360195020.2432351670277323 .1048576.9868600.2323912599668 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) k=2: [order 19] for n>20 k=3: [order 65] for n>66 Empirical for row n: n=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8 n=2: [order 15] EXAMPLE Some solutions for n=3 k=4 ..0..0..0..1....0..0..0..3....2..0..0..2....0..2..2..1....0..0..1..0 ..2..0..2..2....3..0..0..3....3..3..0..0....3..0..0..2....2..0..0..3 ..2..3..0..0....1..2..3..0....1..0..0..2....2..0..0..0....0..2..3..2 CROSSREFS Column 1 is A000302 Column 2 is A231741 Row 1 is A203094 for n>1 Sequence in context: A213173 A222956 A170833 * A129884 A137725 A240035 Adjacent sequences: A231937 A231938 A231939 * A231941 A231942 A231943 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 15 2013 STATUS approved

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Last modified March 24 02:45 EDT 2023. Contains 361454 sequences. (Running on oeis4.)