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Number of (4+1)X(n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero
1

%I #5 Aug 11 2014 22:45:55

%S 111,3985,82996,2265691,64298979,1786680190,49535329657,1375366780223,

%T 38192786490900,1060470627750905,29445068097883913,817579005907041518,

%U 22701109558899272767,630324525317504125167,17501743597007465575440

%N Number of (4+1)X(n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero

%C Row 4 of A232076

%H R. H. Hardin, <a href="/A232080/b232080.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A232080/a232080.txt">Empirical recurrence of order 54</a>

%F Empirical recurrence of order 54 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013