login
Number of (n+2)X(3+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order
1

%I #4 Dec 21 2014 12:07:17

%S 4687,23114,129870,797340,5171516,34241905,231889793,1600079329,

%T 11101235991,77978854894,553317363901,3930371657015,28133917383382,

%U 202467448289241,1456058664605429,10522550922399483,76243229044824767

%N Number of (n+2)X(3+2) 0..3 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Column 3 of A252777

%H R. H. Hardin, <a href="/A252773/b252773.txt">Table of n, a(n) for n = 1..78</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2014