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A230985 Number of white square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero 1

%I #4 Nov 02 2013 07:15:36

%S 3,5,24,47,191,396,1573,3317,13176,27805,110739,233632,931361,1965325,

%T 7836336,16538039,65947255,139182070,555025545,1171397043,4671332880,

%U 9859026059,39316357723,82978844636,330908274229,698396543107

%N Number of white square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero

%C Column 4 of A230989

%H R. H. Hardin, <a href="/A230985/b230985.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-2) -61*a(n-4) +148*a(n-6) -289*a(n-8) +325*a(n-10) -227*a(n-12) +95*a(n-14) -28*a(n-16) +4*a(n-18)

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 02 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)