A202094 Number of (n+2) X 4 binary arrays avoiding patterns 001 and 011 in rows and columns.

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

Author

R. H. Hardin, Dec 11 2011

Keywords

• nonn

Comments

Column 2 of A202100.

Examples

			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
		

Links

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

Crossrefs

Cf. A202100.

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).