A207703 - OEIS

%I #7 Feb 08 2022 12:09:52

%S 2,4,4,6,16,6,9,36,36,8,15,81,102,64,10,25,225,289,216,100,12,40,625,

%T 1071,729,390,144,14,64,1600,3969,3321,1521,636,196,16,104,4096,13230,

%U 15129,8151,2809,966,256,18,169,10816,44100,61254,43681,17225,4761,1392

%N T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

%C Table starts

%C ..2...4....6....9....15.....25......40.......64.......104.......169........273

%C ..4..16...36...81...225....625....1600.....4096.....10816.....28561......74529

%C ..6..36..102..289..1071...3969...13230....44100....153090....531441....1815939

%C ..8..64..216..729..3321..15129...61254...248004...1050282...4447881...18510693

%C .10.100..390.1521..8151..43681..206910...980100...4863870..24137569..117661437

%C .12.144..636.2809.17225.105625..571350..3090564..17518470..99301225..552967815

%C .14.196..966.4761.32775.225625.1369900..8317456..52895444.336392281.2102483853

%C .16.256.1392.7569.57681.439569.2956980.19891600.140048460.986022801.6826106385

%H R. H. Hardin, <a href="/A207703/b207703.txt">Table of n, a(n) for n = 1..650</a>

%e Some solutions for n=4, k=3

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

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

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

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

%Y Column 2 is A016742.

%Y Column 3 is A086113.

%Y Column 4 is A207399.

%Y Row 1 is A006498(n+2).

%Y Row 2 is A189145(n+2).

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 19 2012