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%I #8 Jul 19 2023 10:16:44
%S 96,258,258,776,844,776,2201,3264,3264,2201,6037,11792,17116,11792,
%T 6037,16722,41125,81308,81308,41125,16722,46270,146033,369152,505725,
%U 369152,146033,46270,127161,518500,1719383,2990844,2990844,1719383,518500
%N T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.
%H R. H. Hardin, <a href="/A202898/b202898.txt">Table of n, a(n) for n = 1..198</a>
%e Table starts
%e .....96......258.......776........2201.........6037..........16722
%e ....258......844......3264.......11792........41125.........146033
%e ....776.....3264.....17116.......81308.......369152........1719383
%e ...2201....11792.....81308......505725......2990844.......18123980
%e ...6037....41125....369152.....2990844.....22949327......180517936
%e ..16722...146033...1719383....18123980....180517936.....1847238109
%e ..46270...518500...7994866...109801091...1420515543....18894802636
%e .127161..1829248..36814964...658491602..11069517743...191390651656
%e .349088..6456790.169690932..3949514088..86276642450..1939656390578
%e .958698.22804970.782928672.23718693425.673095183355.19672200615050
%e Some solutions for n=3 k=3
%e ..1..1..0..1..1....1..1..0..1..1....1..1..1..1..1....0..1..1..1..1
%e ..1..0..1..1..1....1..0..1..1..1....0..1..1..0..0....1..1..1..0..0
%e ..1..1..1..1..1....1..1..1..1..1....1..1..1..1..0....1..1..1..1..1
%e ..1..1..0..1..1....0..1..1..1..1....1..1..1..1..0....1..0..1..1..1
%e ..1..1..1..1..0....1..1..0..1..1....0..1..1..0..0....0..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 25 2011
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