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A207789 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:19

%S 28,784,4000,19041,75557,246087,786907,2283773,6379507,17308075,

%T 45325727,117028904,296766998,743643327,1848943779,4561246099,

%U 11201879231,27401795310,66825353776,162629732740,395022399526,958122589330

%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically

%C Row 7 of A207785

%H R. H. Hardin, <a href="/A207789/b207789.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +a(n-2) -57*a(n-3) +2*a(n-4) +372*a(n-5) +9*a(n-6) -1644*a(n-7) -361*a(n-8) +5248*a(n-9) +2126*a(n-10) -12201*a(n-11) -6267*a(n-12) +20849*a(n-13) +9878*a(n-14) -28011*a(n-15) -2944*a(n-16) +33845*a(n-17) -22050*a(n-18) -42032*a(n-19) +58163*a(n-20) +44881*a(n-21) -89003*a(n-22) -23744*a(n-23) +105839*a(n-24) -24096*a(n-25) -106610*a(n-26) +81635*a(n-27) +79273*a(n-28) -121763*a(n-29) -29894*a(n-30) +134395*a(n-31) -29634*a(n-32) -109644*a(n-33) +75417*a(n-34) +62793*a(n-35) -93657*a(n-36) -14112*a(n-37) +83475*a(n-38) -25574*a(n-39) -51660*a(n-40) +39593*a(n-41) +22671*a(n-42) -38801*a(n-43) +2376*a(n-44) +24687*a(n-45) -11454*a(n-46) -11720*a(n-47) +11729*a(n-48) +2443*a(n-49) -8361*a(n-50) +2496*a(n-51) +3061*a(n-52) -2000*a(n-53) -1350*a(n-54) +2113*a(n-55) -524*a(n-56) -423*a(n-57) +125*a(n-58) +346*a(n-59) -352*a(n-60) +80*a(n-61) +26*a(n-62) +7*a(n-63) -42*a(n-64) +32*a(n-65) -5*a(n-66) -a(n-67) -a(n-68) +2*a(n-69) -a(n-70) for n>76

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 20 2012

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)