A204479 Number of (n+2)X6 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

1899, 2745, 1587, 1482, 3270, 11364, 33788, 125749, 476619, 1783368, 6757316, 25622336, 97073670, 368025451, 1395302683, 5289791566, 20055095722, 76034674700, 288268723496, 1092909614313, 4143535016651, 15709332068284

Offset

1,1

Comments

Column 4 of A204483

Links

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

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..0..0..0..0..1....0..1..2..3..1..0....0..0..0..0..0..1....0..1..1..1..2..3
..1..1..1..1..1..1....0..1..2..3..1..0....2..2..2..2..0..2....0..0..1..1..1..0
..1..1..1..1..1..1....0..1..2..3..1..0....0..0..0..0..0..0....0..0..0..1..1..1
..2..2..2..2..2..2....0..1..2..3..1..0....0..0..0..0..0..0....3..0..0..0..1..1
..1..1..1..1..1..1....0..1..2..3..1..0....1..0..1..1..1..1....3..2..0..0..0..1

Crossrefs

Sequence in context: A221041 A221504 A157760 * A251346 A078862 A190652

Adjacent sequences: A204476 A204477 A204478 * A204480 A204481 A204482

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved