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A208078 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically.

%I A208078 #9 Jun 19 2020 04:02:06
%S A208078 2,4,4,6,16,6,10,36,36,9,16,100,126,81,15,26,256,510,441,225,25,42,
%T A208078 676,1968,2601,1785,625,40,68,1764,7722,15129,16065,7225,1600,64,110,
%U A208078 4624,30114,88209,139605,99225,27880,4096,104,178,12100,117708,514089,1228095
%N A208078 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically.
%H A208078 R. H. Hardin, <a href="/A208078/b208078.txt">Table of n, a(n) for n = 1..716</a>
%e A208078 Table starts
%e A208078 ..2....4......6......10.......16.........26..........42............68
%e A208078 ..4...16.....36.....100......256........676........1764..........4624
%e A208078 ..6...36....126.....510.....1968.......7722.......30114........117708
%e A208078 ..9...81....441....2601....15129......88209......514089.......2996361
%e A208078 .15..225...1785...16065...139605....1228095....10751415......94313535
%e A208078 .25..625...7225...99225..1288225...17098225...224850025....2968615225
%e A208078 .40.1600..27880..572040.11204720..223058440..4412968520...87523832240
%e A208078 .64.4096.107584.3297856.97456384.2909955136.86610135616.2580469555456
%e A208078 ...
%e A208078 Some solutions for n=4 k=3
%e A208078 ..0..1..0....0..1..1....1..0..0....0..1..0....1..0..0....1..1..1....0..1..1
%e A208078 ..1..0..1....1..1..0....1..1..0....0..1..1....0..1..1....1..0..1....1..1..0
%e A208078 ..1..0..1....1..0..1....1..1..1....1..1..1....0..1..1....1..1..1....1..1..0
%e A208078 ..0..1..1....0..1..1....1..1..1....1..0..0....1..1..1....0..1..1....0..1..1
%Y A208078 Column 1 is A006498(n+2)
%Y A208078 Column 2 is A189145(n+2)
%Y A208078 Column 3 is A202399(n-2)
%Y A208078 Row 1 is A006355(n+2)
%Y A208078 Row 2 is A206981
%Y A208078 Row 3 is A202954(n-2)
%K A208078 nonn,tabl
%O A208078 1,1
%A A208078 _R. H. Hardin_, Feb 23 2012