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A207682 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

%I A207682 #7 Jul 22 2025 20:39:59
%S A207682 2,4,4,6,16,6,9,36,36,9,13,81,72,81,13,19,169,164,166,169,18,28,361,
%T A207682 336,436,360,324,25,41,784,702,964,1030,660,625,34,60,1681,1488,2132,
%U A207682 2310,2032,1292,1156,46,88,3600,3164,4846,5704,4728,4174,2400,2116,62,129
%N A207682 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically.
%C A207682 Table starts
%C A207682 ..2....4....6....9....13....19.....28.....41.....60......88.....129......189
%C A207682 ..4...16...36...81...169...361....784...1681...3600....7744...16641....35721
%C A207682 ..6...36...72..164...336...702...1488...3164...6612...13916...29532....62032
%C A207682 ..9...81..166..436...964..2132...4846..11301..25496...57407..131250...299913
%C A207682 .13..169..360.1030..2310..5704..14090..34245..81936..201951..490844..1183972
%C A207682 .18..324..660.2032..4728.11994..29982..77141.193184..485658.1213580..3090430
%C A207682 .25..625.1292.4174..9450.25076..65564.171382.433468.1150747.2968284..7722348
%C A207682 .34.1156.2400.8266.18940.52632.139730.379618.990368.2737864.7139792.19521802
%H A207682 R. H. Hardin, <a href="/A207682/b207682.txt">Table of n, a(n) for n = 1..839</a>
%e A207682 Some solutions for n=4 k=3
%e A207682 ..1..0..0....1..0..0....1..1..1....1..0..0....1..0..0....1..0..0....0..1..0
%e A207682 ..1..1..1....0..1..1....1..1..0....0..1..0....1..1..0....1..1..1....1..0..0
%e A207682 ..0..1..1....0..0..1....0..0..1....1..1..0....0..1..0....0..1..0....0..1..0
%e A207682 ..1..0..0....0..1..0....1..1..0....1..0..0....1..0..0....0..0..1....1..1..0
%Y A207682 Column 1 is A171861(n+1)
%Y A207682 Column 2 is A207025
%Y A207682 Column 3 is A207509
%Y A207682 Row 1 is A000930(n+3)
%Y A207682 Row 2 is A207170
%K A207682 nonn,tabl
%O A207682 1,1
%A A207682 _R. H. Hardin_ Feb 19 2012