%I #7 May 28 2021 12:26:41

%S 2,4,4,7,16,7,12,49,49,12,20,144,230,144,20,33,400,1020,1020,400,33,

%T 54,1089,4120,6752,4120,1089,54,88,2916,16109,39276,39276,16109,2916,

%U 88,143,7744,61003,219061,316744,219061,61003,7744,143,232,20449,227197,1165366

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

%C Table starts

%C ..2....4......7......12........20.........33..........54...........88

%C ..4...16.....49.....144.......400.......1089........2916.........7744

%C ..7...49....230....1020......4120......16109.......61003.......227197

%C .12..144...1020....6752.....39276.....219061.....1165366......6052170

%C .20..400...4120...39276....316744....2431277....17515482....122505076

%C .33.1089..16109..219061...2431277...25571618...248652016...2339185464

%C .54.2916..61003.1165366..17515482..248652016..3210775788..40009922008

%C .88.7744.227197.6052170.122505076.2339185464.40009922008.659966594476

%H R. H. Hardin, <a href="/A206785/b206785.txt">Table of n, a(n) for n = 1..363</a>

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

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

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

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

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

%Y Column 1 is A000071(n+3).

%Y Column 2 is A188516.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 12 2012