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%I A202647 #5 Mar 31 2012 12:36:49
%S A202647 66,172,172,462,530,462,1278,1766,1766,1278,3448,5948,7432,5948,3448,
%T A202647 9394,19880,31560,31560,19880,9394,25526,66924,134338,171362,134338,
%U A202647 66924,25526,69336,224940,572940,923788,923788,572940,224940,69336
%N A202647 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals
%C A202647 Table starts
%C A202647 .....66.....172.......462.......1278.........3448..........9394..........25526
%C A202647 ....172.....530......1766.......5948........19880.........66924.........224940
%C A202647 ....462....1766......7432......31560.......134338........572940........2443538
%C A202647 ...1278....5948.....31560.....171362.......923788.......5002208.......27264078
%C A202647 ...3448...19880....134338.....923788......6324344......43812822......304200608
%C A202647 ...9394...66924....572940....5002208.....43812822.....386981422.....3423531924
%C A202647 ..25526..224940...2443538...27264078....304200608....3423531924....38841628112
%C A202647 ..69336..755816..10435120..148104786...2106754926...30374643896...440204384164
%C A202647 .188418.2541276..44531700..804922608..14642559872..269698672006..4991946563700
%C A202647 .511960.8543094.190115264.4383730776.101786323802.2394697806290.56832465909314
%H A202647 R. H. Hardin, <a href="/A202647/b202647.txt">Table of n, a(n) for n = 1..198</a>
%e A202647 Some solutions for n=3 k=3
%e A202647 ..1..0..1..0..0....0..1..1..0..0....1..0..0..1..0....0..0..1..0..1
%e A202647 ..0..1..1..0..1....0..1..0..1..1....1..0..1..0..0....1..1..0..0..1
%e A202647 ..1..1..0..1..1....1..0..0..1..0....0..1..1..0..1....0..0..1..1..0
%e A202647 ..1..0..0..1..0....0..1..1..0..0....1..1..0..1..0....1..1..0..0..1
%e A202647 ..0..1..1..0..0....0..1..0..0..1....0..0..1..1..0....1..1..0..1..1
%K A202647 nonn,tabl
%O A202647 1,1
%A A202647 _R. H. Hardin_ Dec 22 2011

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