A204482 Number of (n+2)X9 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

70726, 111707, 34964, 33788, 35990, 47369, 66580, 159783, 520508, 1817618, 6795292, 25689877, 97112294, 368075253, 1395441180, 5289843312, 20055181002, 76035026065, 288268814608, 1092909806027, 4143536006620, 15709332277494

Offset

1,1

Comments

Column 7 of A204483

Links

R. H. Hardin, Table of n, a(n) for n = 1..129

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

Example

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

Crossrefs

Sequence in context: A253738 A252104 A236016 * A186821 A252728 A226530

Adjacent sequences: A204479 A204480 A204481 * A204483 A204484 A204485

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved