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A231378 Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors 1

%I #4 Nov 08 2013 13:43:07

%S 7,48,378,2539,17363,120124,830890,5746499,39745115,274872588,

%T 1900931060,13146313579,90916738809,628758673194,4348344850906,

%U 30072109222833,207971483025113,1438280832129012,9946804915649296,68789714754091787

%N Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors

%C Column 4 of A231382

%H R. H. Hardin, <a href="/A231378/b231378.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -31*a(n-2) +82*a(n-3) -131*a(n-4) +226*a(n-5) -319*a(n-6) +206*a(n-7) -574*a(n-8) +483*a(n-9) -432*a(n-10) +517*a(n-11) +132*a(n-12) +746*a(n-13) -145*a(n-14) -228*a(n-15) -6*a(n-16) +41*a(n-17) +3*a(n-18) -3*a(n-19) for n>20

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)