The OEIS is supported by the many generous donors to the OEIS Foundation.

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

1

`%I #4 Dec 24 2014 09:02:01
`

`%S 3847,25227,175360,1284278,9590968,71744739,538250710,4042792083,
`

`%T 30378440984,228336299434,1716547733894,12905265671485,97027793141860,
`

`%U 729515470475319,5485019076491089,41240570566543200,310079418285221777
`

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

`%C Column 2 of A252882
`

`%H R. H. Hardin, <a href="/A252878/b252878.txt">Table of n, a(n) for n = 1..210</a>
`

`%e Some solutions for n=3
`

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

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

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

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

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

`%K nonn
`

`%O 1,1
`

`%A _R. H. Hardin_, Dec 24 2014
`