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Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,2,1 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:29

%S 5,57,344,3181,27709,207538,1711736,14233577,115744195,943877937,

%T 7722480242,63119151256,515801027829,4215541002540,34452043410657,

%U 281566682942645,2301175324848852,18806797415174573,153702262527792157

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,2,1 for x=0,1,2,3,4

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

%C Column 5 of A197307

%H R. H. Hardin, <a href="/A197304/b197304.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=4

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

%e ..0..2..0..1..0....2..3..0..1..0....1..4..1..2..0....0..1..0..2..0

%e ..2..3..1..4..1....0..2..1..4..1....0..1..0..3..2....1..4..1..3..2

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 13 2011