%I #5 Mar 31 2012 12:36:14
%S 2,4,4,8,16,8,16,64,64,16,32,256,400,256,32,64,1024,2500,2500,1024,64,
%T 128,4096,16100,21904,16100,4096,128,256,16384,103684,204304,204304,
%U 103684,16384,256,512,65536,665252,1971216,2895584,1971216,665252,65536
%N T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally or antidiagonally
%C Table starts
%C ....2.......4.........8..........16............32..............64
%C ....4......16........64.........256..........1024............4096
%C ....8......64.......400........2500.........16100..........103684
%C ...16.....256......2500.......21904........204304.........1971216
%C ...32....1024.....16100......204304.......2895584........44408896
%C ...64....4096....103684.....1971216......44408896......1139265009
%C ..128...16384....665252....18939904.....677191152.....28911561156
%C ..256...65536...4268356...180741136...10097838144....705042350224
%C ..512..262144..27399292..1723910400..150112575200..17119758585609
%C .1024.1048576.175880644.16461916416.2241104809024.419737861125025
%H R. H. Hardin, <a href="/A188910/b188910.txt">Table of n, a(n) for n = 1..507</a>
%e Some solutions for 5X3
%e ..0..0..0....1..0..0....1..0..1....0..1..1....1..0..1....1..1..0....0..0..1
%e ..0..1..1....0..0..1....1..1..0....0..1..0....1..0..0....1..0..0....0..0..0
%e ..1..0..1....0..0..0....0..0..1....1..0..1....1..0..1....0..0..0....1..0..0
%e ..0..0..0....1..1..0....1..0..1....1..1..1....0..0..1....1..0..1....1..1..1
%e ..1..0..1....1..0..1....1..1..1....1..0..1....0..1..1....1..0..1....1..1..0
%Y Column 2 is Column 1 squared
%Y Column 3 is A181214
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Apr 13 2011