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A206889 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

%I A206889 #7 Jul 22 2025 19:47:02
%S A206889 2,4,4,7,16,7,12,49,49,12,21,144,240,144,20,37,441,1103,1112,400,33,
%T A206889 65,1369,5357,7878,4792,1089,54,114,4225,26564,59812,51800,20129,2916,
%U A206889 88,200,12996,130828,467146,607043,330951,82807,7744,143,351,40000,641137
%N A206889 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.
%C A206889 Table starts
%C A206889 ..2....4......7.......12........21..........37............65............114
%C A206889 ..4...16.....49......144.......441........1369..........4225..........12996
%C A206889 ..7...49....240.....1103......5357.......26564........130828.........641137
%C A206889 .12..144...1112.....7878.....59812......467146.......3619683.......27856426
%C A206889 .20..400...4792....51800....607043.....7354488......88342972.....1052865902
%C A206889 .33.1089..20129...330951...5963040...111550389....2067672443....37988878275
%C A206889 .54.2916..82807..2070564..57268342..1648854501...47015346159..1328156697136
%C A206889 .88.7744.337209.12830802.544455870.24096775331.1055711535814.45805591252624
%H A206889 R. H. Hardin, <a href="/A206889/b206889.txt">Table of n, a(n) for n = 1..364</a>
%e A206889 Some solutions for n=4 k=3
%e A206889 ..1..1..0....0..1..1....1..1..0....0..0..1....0..0..0....0..0..1....1..0..0
%e A206889 ..0..0..0....0..1..1....0..0..0....0..0..0....1..0..0....0..1..1....1..0..1
%e A206889 ..1..1..1....0..1..1....1..1..1....1..1..1....0..1..1....1..0..0....1..0..1
%e A206889 ..1..0..0....0..1..1....0..1..1....0..0..0....1..0..1....1..1..1....1..0..1
%Y A206889 Column 1 is A000071(n+3)
%Y A206889 Column 2 is A188516
%Y A206889 Column 3 is A188757
%Y A206889 Row 1 is A005251(n+3)
%Y A206889 Row 2 is A188501
%Y A206889 Row 3 is A188768
%K A206889 nonn,tabl
%O A206889 1,1
%A A206889 _R. H. Hardin_ Feb 13 2012