A205156
Number of n X 3 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
4, 159, 6941, 332285, 15821727, 754700909, 35987024999, 1716127952620, 81836397835786, 3902517029091331, 186098468293931598, 8874437930744029485, 423193413557085915551, 20180733461342796276880, 962354302788447192584715
Offset: 1
Some solutions for n=5
..0..1..0....0..0..1....0..1..0....0..0..1....0..1..1....0..0..1....0..1..0
..0..2..1....0..1..0....1..0..0....0..0..1....2..1..2....0..0..1....0..1..0
..1..0..0....2..2..1....0..1..1....2..3..2....3..0..1....1..2..2....1..2..1
..3..1..3....0..3..1....1..0..2....1..2..0....2..0..0....0..1..3....0..1..1
..0..1..0....0..1..0....3..0..1....1..0..0....1..3..0....1..3..3....3..3..0
A205157
Number of nX4 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
12, 2191, 332285, 54314298, 8797534495, 1427843505563, 231638725420288, 37582214286016391, 6097402008530516671, 989257097238735049744, 160499289951117243179507, 26039769955147853451399045
Offset: 1
Some solutions for n=5
..0..1..1..0....0..0..1..0....0..0..1..0....0..1..0..0....0..1..0..2
..0..0..2..0....2..1..0..1....2..0..3..1....0..1..0..0....0..3..3..0
..1..2..1..1....0..1..1..2....1..2..1..2....1..0..1..1....1..3..2..1
..3..1..0..0....3..2..1..2....0..1..0..3....2..3..1..3....1..2..1..1
..1..0..2..3....3..3..0..3....2..2..3..2....2..2..3..1....0..2..0..3
A205158
Number of n X 5 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
40, 31168, 15821727, 8797534495, 4826926610498, 2654271236904226, 1458877292453477918, 801931987315155805350, 440804977416966931974046, 242302335602851559365684237, 133188963363707384391102837136, 73211445306645369967259855981514, 40242939870572168051645146035499410
Offset: 1
Some solutions for n=5:
..0..0..1..0..0....0..0..1..0..1....0..1..1..0..0....0..0..1..0..0
..2..1..3..2..2....0..2..2..1..0....0..0..1..0..0....2..0..3..0..2
..2..2..3..2..2....3..1..0..1..0....1..2..3..2..1....0..3..1..1..2
..3..1..1..3..1....0..0..1..2..1....2..0..1..0..0....0..2..0..1..0
..1..2..1..3..2....3..3..0..2..0....0..0..3..0..1....3..2..2..3..2
A205155
Number of n X n 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
1, 15, 6941, 54314298, 4826926610498, 4948963310952700521
Offset: 1
Some solutions for n=5
..0..0..1..0..0....0..0..1..0..1....0..0..1..0..0....0..1..0..0..1
..2..1..3..2..2....0..2..2..1..0....1..1..2..3..3....1..1..2..2..3
..2..2..3..2..2....3..1..0..1..0....3..2..0..0..2....3..0..3..3..0
..3..1..1..3..1....0..0..1..2..1....1..1..3..1..0....0..3..3..0..2
..1..2..1..3..2....3..3..0..2..0....0..1..0..2..3....1..0..1..0..1
A205159
Number of n X 6 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
143, 447343, 754700909, 1427843505563, 2654271236904226, 4948963310952700521, 9223088985799640757493, 17190329064400885392195249, 32039205913239024375598390394
Offset: 1
Some solutions for n=5
..0..0..1..0..1..1....0..1..0..1..0..0....0..1..1..2..1..1....0..0..1..0..2..0
..2..0..2..2..1..0....0..1..1..2..3..2....0..2..0..3..0..0....0..0..1..1..0..1
..3..2..2..0..2..3....3..0..1..2..1..1....2..1..1..0..2..1....3..3..2..2..3..1
..3..0..1..2..3..3....2..1..2..3..0..1....0..1..0..2..2..1....3..0..2..0..2..2
..0..1..1..2..3..0....2..0..0..1..3..0....0..3..1..0..1..0....0..0..1..0..3..3
A205160
Number of n X 7 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
Original entry on oeis.org
528, 6427791, 35987024999, 231638725420288, 1458877292453477918, 9223088985799640757493
Offset: 1
Some solutions for n=5
..0..0..1..2..3..3..2....0..1..1..0..0..2..3....0..0..1..1..0..1..2
..3..0..0..1..2..3..2....3..0..0..2..1..3..2....1..1..0..0..1..0..3
..2..1..2..1..0..1..0....0..1..1..2..0..1..2....2..1..1..2..0..3..1
..1..3..2..2..3..0..3....1..3..0..0..1..3..3....3..0..2..0..1..3..2
..1..0..3..1..0..3..3....2..0..2..2..1..1..0....3..1..3..2..2..1..1
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