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%I #5 Mar 31 2012 12:36:16
%S 2,4,4,7,16,8,12,49,64,16,21,144,292,256,32,37,441,1164,1723,1024,64,
%T 65,1369,5238,8496,10327,4096,128,114,4225,25046,50024,65160,61996,
%U 16384,256,200,12996,116100,357323,532565,515560,371641,65536,512,351,40000
%N T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally
%C Table starts
%C ....2.......4........7.........12..........21.............37...............65
%C ....4......16.......49........144.........441...........1369.............4225
%C ....8......64......292.......1164........5238..........25046...........116100
%C ...16.....256.....1723.......8496.......50024.........357323..........2482591
%C ...32....1024....10327......65160......532565........6204967.........68121839
%C ...64....4096....61996.....515560.....6110500......118571483.......2076231513
%C ..128...16384...371641....4075336....69943253.....2239578131......61652076124
%C ..256...65536..2227333...32031600...783072552....41236726541....1785011303305
%C ..512..262144.13350748..251533888..8759983583...764615054191...52081392909734
%C .1024.1048576.80027347.1976926440.98440457351.14279876468131.1531637258052071
%H R. H. Hardin, <a href="/A189617/b189617.txt">Table of n, a(n) for n = 1..240</a>
%e Some solutions for 5X3
%e ..1..1..0....0..0..1....1..1..1....1..1..1....1..1..1....0..0..1....0..0..0
%e ..1..0..0....1..1..1....0..0..1....1..0..1....0..0..1....1..0..0....1..0..1
%e ..0..1..1....0..1..1....0..0..1....1..0..1....0..0..1....0..1..1....0..0..0
%e ..1..0..1....1..0..0....0..0..1....1..1..0....0..0..0....1..1..0....1..0..0
%e ..1..0..0....1..0..1....1..0..0....1..1..0....0..0..1....1..1..1....1..0..0
%Y Column 3 is A188748
%Y Row 1 is A005251(n+3)
%Y Row 2 is A188501
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Apr 24 2011
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