# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a231940 Showing 1-1 of 1 %I A231940 #4 Nov 15 2013 14:27:52 %S A231940 4,4,16,16,84,64,50,668,318,256,144,5070,8426,1328,1024,422,42104, %T A231940 206808,152180,6064,4096,1268,326010,4736026,11159202,2462572,26918, %U A231940 16384,3823,2511252,94464137,691418144,518972238,36885538,116909,65536,11472 %N 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 %C A231940 Table starts %C A231940 .......4.......4............16...............50................144 %C A231940 ......16......84...........668.............5070..............42104 %C A231940 ......64.....318..........8426...........206808............4736026 %C A231940 .....256....1328........152180.........11159202..........691418144 %C A231940 ....1024....6064.......2462572........518972238........86074040354 %C A231940 ....4096...26918......36885538......23280281589.....10417626293694 %C A231940 ...16384..116909.....586971925....1098832065447...1320620287047433 %C A231940 ...65536..511264....9394148948...52087504055935.167980047970274816 %C A231940 ..262144.2248196..147360195020.2432351670277323 %C A231940 .1048576.9868600.2323912599668 %H A231940 R. H. Hardin, Table of n, a(n) for n = 1..84 %F A231940 Empirical for column k: %F A231940 k=1: a(n) = 4*a(n-1) %F A231940 k=2: [order 19] for n>20 %F A231940 k=3: [order 65] for n>66 %F A231940 Empirical for row n: %F A231940 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 %F A231940 n=2: [order 15] %e A231940 Some solutions for n=3 k=4 %e A231940 ..0..0..0..1....0..0..0..3....2..0..0..2....0..2..2..1....0..0..1..0 %e A231940 ..2..0..2..2....3..0..0..3....3..3..0..0....3..0..0..2....2..0..0..3 %e A231940 ..2..3..0..0....1..2..3..0....1..0..0..2....2..0..0..0....0..2..3..2 %Y A231940 Column 1 is A000302 %Y A231940 Column 2 is A231741 %Y A231940 Row 1 is A203094 for n>1 %K A231940 nonn,tabl %O A231940 1,1 %A A231940 _R. H. Hardin_, Nov 15 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE