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A202406 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 010 in rows and columns.

%I A202406 #11 Jun 19 2020 04:01:43
%S A202406 126,441,441,1785,2401,1785,7225,14161,14161,7225,27880,83521,127449,
%T A202406 83521,27880,107584,485809,1147041,1147041,485809,107584,422136,
%U A202406 2825761,9967797,15752961,9967797,2825761,422136,1656369,16475481,86620249
%N A202406 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 010 in rows and columns.
%H A202406 R. H. Hardin, <a href="/A202406/b202406.txt">Table of n, a(n) for n = 1..418</a>
%e A202406 Table starts
%e A202406 ......126........441.........1785...........7225.............27880
%e A202406 ......441.......2401........14161..........83521............485809
%e A202406 .....1785......14161.......127449........1147041...........9967797
%e A202406 .....7225......83521......1147041.......15752961.........204518601
%e A202406 ....27880.....485809......9967797......204518601........4005967518
%e A202406 ...107584....2825761.....86620249.....2655237841.......78466093924
%e A202406 ...422136...16475481....761992011....35242177441.....1562067102398
%e A202406 ..1656369...96059601...6703188129...467758877041....31096917284521
%e A202406 ..6459453..559842921..58683373353..6151258109929...615218671150193
%e A202406 .25190361.3262808641.513746331121.80892053988001.12171431974069369
%e A202406 ...
%e A202406 Some solutions for n=2 k=3
%e A202406 ..1..0..0..1..1....0..0..1..1..1....0..1..1..1..1....1..1..0..0..1
%e A202406 ..1..1..0..0..1....1..0..0..1..1....0..1..1..1..1....1..1..1..0..0
%e A202406 ..0..1..1..1..0....1..1..1..1..0....1..0..1..1..0....0..1..1..1..0
%e A202406 ..0..0..1..1..1....0..1..1..1..0....1..1..1..0..1....1..1..1..1..1
%K A202406 nonn,tabl
%O A202406 1,1
%A A202406 _R. H. Hardin_, Dec 19 2011