A197178 - OEIS

%I #7 Mar 10 2022 20:28:00

%S 6,144,2695,50864,1096217,22335117,467923636,9715240362,202416969329,

%T 4212994659413,87725436272795,1826377617714231,38026405009459764,

%U 791717063144087158,16483851476415953516,343198919447137443062

%N Number of n X 6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,2,1,0,0 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 0's, every 4 is next to 4 0's.

%C Column 6 of A197180.

%H R. H. Hardin, <a href="/A197178/b197178.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..1..2..2..1..0....0..0..3..0..0..0....2..1..0..0..3..0....0..3..0..1..2..1

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

%e ..0..0..3..0..4..0....0..3..0..4..0..0....0..4..0..0..0..0....0..4..0..3..0..3

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

%Y Cf. A197180.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 11 2011