|
%I #4 Nov 12 2013 15:10:13
%S 5,17,17,42,87,42,121,387,387,121,351,1903,2840,1903,351,978,9352,
%T 23584,23584,9352,978,2768,45126,197605,332529,197605,45126,2768,7851,
%U 218976,1601683,4734057,4734057,1601683,218976,7851,22168,1063266,13087828
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one
%C Table starts
%C .....5.......17.........42...........121.............351................978
%C ....17.......87........387..........1903............9352..............45126
%C ....42......387.......2840.........23584..........197605............1601683
%C ...121.....1903......23584........332529.........4734057...........65213128
%C ...351.....9352.....197605.......4734057.......115091431.........2710953352
%C ...978....45126....1601683......65213128......2710953352.......108702736653
%C ..2768...218976...13087828.....907753996.....64449267435......4397103321129
%C ..7851..1063266..107398293...12682706594...1537649843980....178637016494076
%C .22168..5157832..878894477..176596945800..36565903346612...7231676877762957
%C .62688.25029089.7193285719.2460065350035.869868073036783.292858412207690044
%H R. H. Hardin, <a href="/A231710/b231710.txt">Table of n, a(n) for n = 1..264</a>
%F Empirical for column k:
%F k=1: [order 9]
%F k=2: [order 25]
%F k=3: [order 77]
%e Some solutions for n=3 k=4
%e ..1..1..1..0..1....0..0..1..1..0....1..0..1..0..0....1..0..0..0..1
%e ..0..0..0..0..0....0..0..1..0..0....0..0..1..0..0....1..0..1..0..0
%e ..0..0..0..1..0....1..0..0..0..1....1..0..1..0..0....0..0..0..0..0
%e ..0..1..1..0..0....1..0..1..0..0....0..0..0..1..0....1..1..1..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 12 2013
| 