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

%I #6 Dec 15 2023 20:24:04

%S 928,998,1750,3119,6086,12641,25184,54251,111467,239582,500112,

%T 1084951,2264912,4927102,10326385,22471670,47248426,102846945,

%U 216359840,471311716,993403943,2162719496,4561950718,9932410117,20975309974

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

%C Column 3 of A253044.

%H R. H. Hardin, <a href="/A253039/b253039.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253039/a253039.txt">Empirical recurrence of order 78</a>

%F Empirical recurrence of order 78 (see link above).

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A253044.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2014