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Number of 5Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.
1

%I #4 Dec 20 2015 07:01:08

%S 1,1,22,14,70,154,486,1602,5777,10188,28506,101227,267042,698241,

%T 2005275,5355840,15507088,43713710,117062325,328169426,927529600,

%U 2543571216,7113125250,19776079964,54664483400,152873904217,425365839757

%N Number of 5Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.

%C Row 5 of A266012.

%H R. H. Hardin, <a href="/A266015/b266015.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..1..1..0....1..1..2..2....0..1..1..0....0..1..1..0....1..1..2..2

%e ..0..2..2..0....0..2..2..0....0..2..2..0....0..2..2..0....0..2..2..0

%e ..2..2..1..0....0..1..2..2....2..2..1..1....2..2..1..1....0..1..1..0

%e ..0..1..2..2....1..2..2..0....0..2..2..0....0..2..2..1....0..2..2..1

%e ..0..2..2..0....0..1..1..0....2..2..1..1....2..2..1..0....2..2..1..0

%Y Cf. A266012.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 20 2015