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A207422 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically 1

%I #5 Mar 31 2012 12:37:17

%S 9,81,361,1521,6889,29929,127449,546121,2337841,9979281,42601729,

%T 181899169,776458225,3314189761,14146485721,60382741441,257733905625,

%U 1100096811025,4695589958761,20042356043161,85547497157721

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

%C Column 4 of A207426

%H R. H. Hardin, <a href="/A207422/b207422.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +a(n-2) +8*a(n-3) -21*a(n-4) -46*a(n-5) -6*a(n-6) +35*a(n-7) +49*a(n-8) +19*a(n-9) -16*a(n-10) -21*a(n-11) -4*a(n-13) -2*a(n-14) +a(n-15)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 17 2012

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)