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A231952 Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero 1

%I #4 Nov 15 2013 19:30:59

%S 64,1034,14842,220472,3292876,49124582,732691918,10928482748,

%T 163005613290,2431334781688,36264925895498,540914768944926,

%U 8068092919700682,120340813466844560,1794960906023880032

%N Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero

%C Column 3 of A231957

%H R. H. Hardin, <a href="/A231952/b231952.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +6*a(n-2) +103*a(n-3) +170*a(n-4) -39*a(n-5) -13*a(n-6) -99*a(n-7) -375*a(n-8) -29*a(n-9) +181*a(n-10) +18*a(n-11) -24*a(n-12)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013

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Last modified April 24 02:28 EDT 2024. Contains 371917 sequences. (Running on oeis4.)