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A207269 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically.

%I A207269 #7 Jul 22 2025 20:13:42
%S A207269 2,4,4,6,16,6,9,36,36,9,13,81,82,81,14,18,169,217,193,196,21,25,324,
%T A207269 499,611,488,441,31,34,625,1014,1602,1910,1087,961,46,46,1156,2141,
%U A207269 3513,5904,5132,2305,2116,68,62,2116,4188,8327,14184,18055,13067,4932,4624,100,83
%N A207269 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically.
%C A207269 Table starts
%C A207269 ..2....4....6.....9.....13.....18......25......34.......46.......62.......83
%C A207269 ..4...16...36....81....169....324.....625....1156.....2116.....3844.....6889
%C A207269 ..6...36...82...217....499...1014....2141....4188.....8150....15670....29517
%C A207269 ..9...81..193...611...1602...3513....8327...17568....36988....76723...153865
%C A207269 .14..196..488..1910...5904..14184...38911...90670...211626...485438..1060958
%C A207269 .21..441.1087..5132..18055..45520..140295..349415...877101..2164569..5025447
%C A207269 .31..961.2305.13067..52240.135686..467686.1233127..3284096..8655283.21076355
%C A207269 .46.2116.4932.33937.156473.417772.1623957.4556171.12881467.36421182.93059536
%H A207269 R. H. Hardin, <a href="/A207269/b207269.txt">Table of n, a(n) for n = 1..881</a>
%e A207269 Some solutions for n=4 k=3
%e A207269 ..1..1..1....1..1..1....1..0..0....0..0..1....1..1..1....0..1..0....1..1..1
%e A207269 ..1..1..1....0..0..1....1..1..1....1..0..0....1..1..0....1..0..0....1..0..1
%e A207269 ..1..0..1....0..0..1....1..0..0....0..1..0....1..0..0....0..0..1....1..0..1
%e A207269 ..0..0..1....0..1..0....1..0..0....0..0..1....1..0..0....0..1..0....0..1..0
%Y A207269 Column 1 is A038718(n+2)
%Y A207269 Column 2 is A207069
%Y A207269 Row 1 is A171861(n+1)
%Y A207269 Row 2 is A207025
%K A207269 nonn,tabl
%O A207269 1,1
%A A207269 _R. H. Hardin_ Feb 16 2012