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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 2,2,1,1,1 for x=0,1,2,3,4.
1

%I #7 Nov 17 2022 19:28:53

%S 9,119,270,2081,6279,48014,223832,1258673,6255191,36099651,182317148,

%T 1002566978,5243822530,28535482208,150520120228,809991814859,

%U 4299042626683,23075139229373,122959297359243,658044273422935

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

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

%C Column 7 of A197545.

%H R. H. Hardin, <a href="/A197544/b197544.txt">Table of n, a(n) for n = 1..155</a>

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

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

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

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

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

%Y Cf. A197545.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 16 2011