login
A204490
Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order
1
12809, 12861, 23851, 44712, 85756, 169432, 331723, 640841, 1254717, 2491262, 4987056, 10038749, 20323399, 41251315, 83846977, 170847335, 348525500, 711463790, 1455076644, 2977871038, 6096358186, 12500137174, 25643281058
OFFSET
1,1
COMMENTS
Column 6 of A204492
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-2) +9*a(n-3) -5*a(n-4) -10*a(n-5) -7*a(n-6) -28*a(n-7) +16*a(n-8) -9*a(n-9) +40*a(n-10) +5*a(n-11) +2*a(n-12) +16*a(n-13) -19*a(n-14) +10*a(n-15) -20*a(n-16) +3*a(n-17) -2*a(n-18) -5*a(n-19) +4*a(n-20) -2*a(n-21) +a(n-22) for n>33
EXAMPLE
Some solutions for n=3
..0..0..1..1..1..0..0..1....0..0..1..0..1..0..1..0....0..0..1..1..0..0..0..1
..0..1..0..0..1..1..0..0....1..1..1..1..0..1..0..1....0..1..1..0..1..1..0..0
..1..1..1..0..0..1..1..0....1..0..0..1..1..0..1..0....1..0..1..1..0..1..1..1
..1..0..1..1..0..0..1..1....0..1..0..0..1..1..0..1....1..0..0..1..1..0..1..0
..0..1..0..1..1..1..0..1....0..1..1..1..0..1..1..0....1..1..0..0..1..1..0..0
CROSSREFS
Sequence in context: A035916 A243050 A246809 * A218457 A251053 A231457
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 15 2012
STATUS
approved