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A202094
Number of (n+2) X 4 binary arrays avoiding patterns 001 and 011 in rows and columns.
2
324, 1296, 3600, 10000, 22500, 50625, 99225, 194481, 345744, 614656, 1016064, 1679616, 2624400, 4100625, 6125625, 9150625, 13176900, 18974736, 26501904, 37015056, 50381604, 68574961, 91298025, 121550625, 158760000, 207360000
OFFSET
1,1
COMMENTS
Column 2 of A202100.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16).
EXAMPLE
Some solutions for n=7
..1..1..1..1....1..1..1..1....1..1..0..1....1..1..0..1....1..1..1..1
..1..1..1..1....1..1..0..1....1..1..1..0....1..1..0..1....1..1..1..0
..0..1..0..1....1..1..1..1....1..1..0..0....0..1..0..0....0..1..0..1
..1..1..1..0....0..1..0..1....1..1..1..0....1..1..0..0....1..1..0..0
..0..1..0..0....1..1..0..1....1..1..0..0....0..0..0..0....0..1..0..0
..0..0..0..0....0..1..0..1....1..1..0..0....1..1..0..0....1..1..0..0
..0..1..0..0....1..1..0..0....1..1..0..0....0..0..0..0....0..1..0..0
..0..0..0..0....0..0..0..0....0..1..0..0....0..1..0..0....0..1..0..0
..0..1..0..0....0..1..0..0....0..1..0..0....0..0..0..0....0..0..0..0
CROSSREFS
Cf. A202100.
Sequence in context: A014792 A287634 A329613 * A202486 A305070 A229538
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 11 2011
STATUS
approved