A188768 Number of nX3 binary arrays without the pattern 0 1 0 vertically or horizontally

7, 49, 240, 1103, 5357, 26564, 130828, 641137, 3143331, 15426387, 75714198, 371548402, 1823195326, 8946675170, 43903164079, 215441286043, 1057208843688, 5187912250379, 25458023997998, 124927142385391, 613040099740828

Offset

1,1

Comments

Column 3 of A188774

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +23*a(n-3) +18*a(n-4) +5*a(n-5) +49*a(n-6) -30*a(n-7) -87*a(n-8) -6*a(n-9) +19*a(n-10) +8*a(n-11) +5*a(n-12) -a(n-13) -a(n-14)

Example

Some solutions for 4X3
..1..0..1....0..1..1....1..0..1....1..1..1....1..1..0....0..0..1....1..1..0
..1..0..1....1..0..1....1..0..0....1..0..0....0..0..1....0..0..0....1..1..1
..1..0..1....1..0..0....0..0..0....0..0..1....0..0..1....1..1..0....1..0..1
..0..0..0....1..1..0....1..0..0....0..1..1....1..0..0....1..1..1....1..1..0

Crossrefs

Sequence in context: A223842 A212693 A223615 * A188757 A223947 A207083

Adjacent sequences: A188765 A188766 A188767 * A188769 A188770 A188771

Keyword

nonn

Author

R. H. Hardin Apr 09 2011

Status

approved