A253740 - OEIS

%I #4 Jan 11 2015 08:08:47

%S 218,720,720,2212,1888,2212,6932,4100,4100,6932,22236,9876,7216,9876,

%T 22236,70372,25012,17608,17608,25012,70372,222820,60296,44332,54688,

%U 44332,60296,222820,706884,148328,102616,143080,143080,102616,148328

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

%C Table starts

%C .....218.....720....2212.....6932....22236.....70372.....222820......706884

%C .....720....1888....4100.....9876....25012.....60296.....148328......369360

%C ....2212....4100....7216....17608....44332....102616.....243796......599920

%C ....6932....9876...17608....54688...143080....345304.....922004.....2750948

%C ...22236...25012...44332...143080...400068...1059528....3230352....10458356

%C ...70372...60296..102616...345304..1059528...3369876...11094376....37875928

%C ..222820..148328..243796...922004..3230352..11094376...40265740...158864740

%C ..706884..369360..599920..2750948.10458356..37875928..158864740...774250356

%C .2242532..917504.1495128..7532104.31345596.127687424..622829668..3357130068

%C .7110804.2284292.3650772.19629020.90751832.433506104.2349461712.13604064576

%H R. H. Hardin, <a href="/A253740/b253740.txt">Table of n, a(n) for n = 1..337</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 14] for n>15

%F k=2: [order 55] for n>60

%e Some solutions for n=4 k=4

%e ..1..1..1..0..1..1....1..1..0..1..0..0....0..0..0..1..0..0....0..1..0..0..0..1

%e ..0..1..0..1..0..1....1..0..1..0..1..1....1..0..0..0..1..0....0..0..1..0..1..0

%e ..1..0..1..1..1..0....0..1..1..1..0..1....0..1..0..0..0..0....0..0..0..1..0..0

%e ..0..1..1..1..0..1....1..1..1..0..1..0....1..0..1..0..1..0....1..0..0..0..1..0

%e ..1..0..1..0..1..1....0..1..0..1..0..1....0..1..0..1..0..0....0..1..0..0..0..1

%e ..0..0..0..0..0..0....0..0..0..0..0..1....1..0..0..0..1..0....0..1..1..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 11 2015