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Number of n X 7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,4,1 for x=0,1,2,3,4.
1

%I #7 Apr 17 2022 20:19:02

%S 17,320,3966,76809,2032584,46887621,926499600,17962317556,

%T 351103877665,6945098996988,139065692664815,2795329197283554,

%U 56072977068447935,1121420878698363003,22398808824228997399,447457890891091698310

%N Number of n X 7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,4,1 for x=0,1,2,3,4.

%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 1's.

%C Column 7 of A196456.

%H R. H. Hardin, <a href="/A196455/b196455.txt">Table of n, a(n) for n = 1..95</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A196456.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 02 2011