A203348 Number of (n+2)X3 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals

80, 244, 702, 2062, 6032, 17614, 51482, 150462, 439760, 1285280, 3756472, 10979006, 32088238, 93784004, 274101634, 801114300, 2341409322, 6843215284, 20000601752, 58455572974, 170847560198, 499334577370, 1459400531498, 4265376378604

Offset

1,1

Comments

Column 1 of A203355

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) -3*a(n-3) -a(n-4) -2*a(n-5) -a(n-6) +2*a(n-7) +a(n-8) +a(n-9) -2*a(n-11) -a(n-12)

Example

Some solutions for n=3
..0..0..1....0..0..1....0..0..0....1..1..0....1..0..0....0..0..1....0..0..1
..0..0..1....0..0..1....1..1..1....1..0..0....1..1..1....0..0..0....0..0..1
..1..0..0....1..1..1....1..1..1....1..0..0....1..1..1....1..0..0....1..0..0
..1..1..0....1..1..1....1..0..0....0..0..0....1..1..1....1..0..0....1..1..0
..1..1..1....1..0..0....1..0..0....0..0..0....0..0..1....1..0..0....0..1..1

Crossrefs

Sequence in context: A364719 A202439 A203355 * A235098 A235091 A306434

Adjacent sequences: A203345 A203346 A203347 * A203349 A203350 A203351

Keyword

nonn

Author

R. H. Hardin Dec 31 2011

Status

approved