A252960 Number of (n+2) X (7+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.

7495, 1069, 1429, 2349, 4019, 6855, 12573, 23471, 42337, 81323, 155799, 290009, 563689, 1097993, 2074061, 4075537, 7986375, 15324923, 30226561, 59683643, 115596469, 229227527, 454031043, 887656421, 1763720581, 3506651437

Offset

1,1

Comments

Column 7 of A252961.

Links

R. H. Hardin, Table of n, a(n) for n = 1..183

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) +3*a(n-3) -30*a(n-4) -12*a(n-5) +67*a(n-6) +51*a(n-7) +41*a(n-8) -341*a(n-9) +162*a(n-10) -28*a(n-11) +261*a(n-12) -195*a(n-13) -9*a(n-14) +73*a(n-15) -30*a(n-16) +8*a(n-17) -71*a(n-18) +45*a(n-19) -a(n-20) +9*a(n-21) -6*a(n-22) for n>25.

Example

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

Crossrefs

Cf. A252961.

Sequence in context: A330713 A385219 A253338 * A258612 A258605 A258604

Adjacent sequences: A252957 A252958 A252959 * A252961 A252962 A252963

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved