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A231510 Number of nX3 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors 1

%I #4 Nov 09 2013 13:36:37

%S 4,14,78,343,1537,7505,35872,168887,800573,3806573,18062200,85666516,

%T 406536978,1929318800,9154739800,43440293805,206136096165,

%U 978165298049,4641595993944,22025389470655,104515441789989,495948930283147

%N Number of nX3 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors

%C Column 3 of A231515

%H R. H. Hardin, <a href="/A231510/b231510.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +19*a(n-3) +4*a(n-4) -56*a(n-5) -49*a(n-6) -44*a(n-7) -93*a(n-8) +91*a(n-9) -11*a(n-10) +105*a(n-11) +153*a(n-12) +75*a(n-13) +98*a(n-14) +21*a(n-15) +28*a(n-16) for n>17

%e Some solutions for n=7

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013

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Last modified June 12 01:17 EDT 2024. Contains 373320 sequences. (Running on oeis4.)