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A207119 Number of nX4 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically 1

%I #5 Mar 31 2012 12:37:15

%S 9,81,288,1024,2560,6400,13200,27225,49665,90601,151704,254016,399168,

%T 627264,938520,1404225,2020425,2907025,4051080,5645376,7660224,

%U 10394176,13789048,18292729,23801505,30969225,39622800,50694400,63909120,80568576

%N Number of nX4 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

%C Column 4 of A207123

%H R. H. Hardin, <a href="/A207119/b207119.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)