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A204354 Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order 1
74, 241, 764, 2399, 7580, 23912, 75324, 237298, 747692, 2355866, 7422792, 23387588, 73689564, 232180522, 731551426, 2304964968, 7262464138, 22882501880, 72097956424, 227165551128, 715751065378, 2255181533318, 7105604131896 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A204361
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +6*a(n-3) +21*a(n-4) -4*a(n-5) -10*a(n-6) +2*a(n-7) -20*a(n-8) +4*a(n-10) for n>13
EXAMPLE
Some solutions for n=3
..0..0..1....0..0..1....0..1..0....0..0..0....0..0..0....0..0..1....0..1..1
..0..1..1....0..0..1....1..0..1....0..1..0....1..1..0....0..0..1....1..0..1
..1..0..0....1..1..0....1..0..0....1..0..1....0..0..1....1..1..0....0..1..1
..1..1..0....0..0..0....1..1..0....1..0..0....0..1..0....0..0..0....0..0..0
..0..1..0....1..0..1....0..1..1....1..1..0....0..1..1....1..0..1....1..0..1
CROSSREFS
Sequence in context: A301329 A121809 A204361 * A223907 A232512 A046833
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 14 2012
STATUS
approved

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Last modified July 18 06:32 EDT 2024. Contains 374377 sequences. (Running on oeis4.)