A196137 - OEIS

%I #9 Oct 03 2025 06:24:05

%S 3,46,117,931,3288,20706,75720,384083,1662512,8212668,37172701,

%T 176457313,803299589,3768617073,17355787464,81234030372,376860933270,

%U 1753580102111,8135995110263,37838340282830,175764796211917,817275191103917

%N Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4.

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

%C Column 7 of A196138

%H R. H. Hardin, <a href="/A196137/b196137.txt">Table of n, a(n) for n = 1..142</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 28 2011