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A207419 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.

%I A207419 #7 Jul 22 2025 20:24:05
%S A207419 2,4,4,6,16,6,9,36,36,9,14,81,92,81,14,21,196,241,241,196,21,31,441,
%T A207419 720,742,720,441,31,46,961,1889,2760,2760,1889,961,46,68,2116,4719,
%U A207419 8465,13260,8465,4719,2116,68,100,4624,12102,24317,50139,50139,24317,12102
%N A207419 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.
%C A207419 Table starts
%C A207419 ..2....4.....6.....9.....14......21.......31........46........68........100
%C A207419 ..4...16....36....81....196.....441......961......2116......4624......10000
%C A207419 ..6...36....92...241....720....1889.....4719.....12102.....30414......74588
%C A207419 ..9...81...241...742...2760....8465....24317.....73405....214117.....601411
%C A207419 .14..196...720..2760..13260...50139...175903....656508...2338562....7964440
%C A207419 .21..441..1889..8465..50139..220882...891720...3919354..16153614...62844340
%C A207419 .31..961..4719.24317.175903..891720..4094666..21072638..99746042..440141222
%C A207419 .46.2116.12102.73405.656508.3919354.21072638.129528304.721835038.3728749264
%H A207419 R. H. Hardin, <a href="/A207419/b207419.txt">Table of n, a(n) for n = 1..611</a>
%e A207419 Some solutions for n=4 k=3
%e A207419 ..1..0..0....0..1..1....0..0..0....1..0..0....1..0..1....0..1..1....0..1..1
%e A207419 ..0..0..0....1..1..1....0..1..1....0..1..1....1..0..1....1..0..0....0..0..0
%e A207419 ..0..1..1....0..0..0....0..0..0....0..0..0....1..0..1....0..0..0....1..0..0
%e A207419 ..0..0..0....0..0..0....1..0..0....0..0..0....1..0..0....0..0..0....0..0..0
%Y A207419 Column 1 is A038718(n+2)
%Y A207419 Column 2 is A207069
%K A207419 nonn,tabl
%O A207419 1,1
%A A207419 _R. H. Hardin_ Feb 17 2012