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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 9

%I #5 Mar 31 2012 12:36:49

%S 66,172,172,462,530,462,1278,1766,1766,1278,3448,5948,7432,5948,3448,

%T 9394,19880,31560,31560,19880,9394,25526,66924,134338,171362,134338,

%U 66924,25526,69336,224940,572940,923788,923788,572940,224940,69336

%N 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 Table starts

%C .....66.....172.......462.......1278.........3448..........9394..........25526

%C ....172.....530......1766.......5948........19880.........66924.........224940

%C ....462....1766......7432......31560.......134338........572940........2443538

%C ...1278....5948.....31560.....171362.......923788.......5002208.......27264078

%C ...3448...19880....134338.....923788......6324344......43812822......304200608

%C ...9394...66924....572940....5002208.....43812822.....386981422.....3423531924

%C ..25526..224940...2443538...27264078....304200608....3423531924....38841628112

%C ..69336..755816..10435120..148104786...2106754926...30374643896...440204384164

%C .188418.2541276..44531700..804922608..14642559872..269698672006..4991946563700

%C .511960.8543094.190115264.4383730776.101786323802.2394697806290.56832465909314

%H R. H. Hardin, <a href="/A202647/b202647.txt">Table of n, a(n) for n = 1..198</a>

%e Some solutions for n=3 k=3

%e ..1..0..1..0..0....0..1..1..0..0....1..0..0..1..0....0..0..1..0..1

%e ..0..1..1..0..1....0..1..0..1..1....1..0..1..0..0....1..1..0..0..1

%e ..1..1..0..1..1....1..0..0..1..0....0..1..1..0..1....0..0..1..1..0

%e ..1..0..0..1..0....0..1..1..0..0....1..1..0..1..0....1..1..0..0..1

%e ..0..1..1..0..0....0..1..0..0..1....0..0..1..1..0....1..1..0..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 22 2011

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Last modified July 25 07:50 EDT 2024. Contains 374586 sequences. (Running on oeis4.)