A188703 Number of nX6 binary arrays without the pattern 0 0 diagonally or vertically

64, 377, 7164, 71152, 986929, 11462588, 145764780, 1769780565, 21988745988, 270110390804, 3336423566677, 41102425332512, 506994024857925, 6249982640820369, 77068431918058476, 950205205067610609

Offset

1,1

Comments

Column 6 of A188706

Links

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

Formula

Empirical: a(n) = a(n-1) +119*a(n-2) +397*a(n-3) -1395*a(n-4) -5213*a(n-5) +8797*a(n-6) +24443*a(n-7) -36756*a(n-8) -45888*a(n-9) +84092*a(n-10) +19388*a(n-11) -83412*a(n-12) +24912*a(n-13) +22741*a(n-14) -12257*a(n-15) -1459*a(n-16) +1607*a(n-17) -49*a(n-18) -71*a(n-19) +3*a(n-20) +a(n-21)

Example

Some solutions for 3X6
..1..1..1..1..0..1....0..1..0..1..0..1....0..0..0..1..1..0....0..0..1..0..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
..1..1..1..1..1..0....0..1..0..1..0..0....1..1..1..1..0..1....0..1..0..0..1..0

Crossrefs

Sequence in context: A105918 A224042 A188840 * A297343 A228759 A220976

Adjacent sequences: A188700 A188701 A188702 * A188704 A188705 A188706

Keyword

nonn

Author

R. H. Hardin Apr 08 2011

Status

approved