A252955 Number of (n+2)X(2+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order

119, 120, 185, 337, 596, 1186, 2279, 4165, 8552, 16744, 31079, 64381, 127298, 237724, 494963, 983227, 1846154, 3851596, 7687829, 14482087, 30290270, 60671074, 114655493, 240248527, 483021992, 914633350, 1921066049, 3874689085

Offset

1,1

Comments

Column 2 of A252961

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +8*a(n-3) -55*a(n-4) +75*a(n-5) +71*a(n-6) -85*a(n-7) -42*a(n-8) -600*a(n-9) +1575*a(n-10) -1323*a(n-11) +378*a(n-12) for n>14

Example

Some solutions for n=2
..0..0..1..1....0..1..1..2....0..1..1..2....0..1..1..2....0..1..1..2
..2..2..0..0....1..0..1..0....3..3..4..4....3..0..0..4....3..0..0..4
..3..3..2..2....3..3..1..3....4..0..0..1....4..3..3..1....2..3..3..1
..4..4..3..4....2..2..1..1....1..1..3..3....2..1..1..3....1..2..2..0

Crossrefs

Sequence in context: A013683 A071843 A234691 * A171697 A172017 A049048

Adjacent sequences: A252952 A252953 A252954 * A252956 A252957 A252958

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved