A188712 Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically

55, 1681, 54049, 1729531, 55337580, 1769780565, 56585607231, 1808994829500, 57829148027161, 1848624216954643, 59094629276262316, 1889063777872100973, 60387214464117233335, 1930382199629976832828, 61708017083116822627729

Offset

1,1

Comments

Row 8 of A188706

Links

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

Formula

Empirical: a(n) = 55*a(n-1) -933*a(n-2) +7094*a(n-3) -27502*a(n-4) +57434*a(n-5) -65257*a(n-6) +38535*a(n-7) -10341*a(n-8) +900*a(n-9) for n>11

Example

Some solutions for 8X3
..1..1..0....0..1..1....1..1..1....0..1..1....1..1..0....0..0..1....0..1..0
..1..1..1....1..1..0....0..0..0....1..1..0....1..0..1....1..1..1....1..1..1
..1..0..0....1..1..1....1..1..1....1..1..1....0..1..1....0..1..0....0..0..1
..1..1..1....1..0..1....0..1..0....0..0..1....1..1..1....1..1..1....1..1..1
..1..0..0....0..1..1....1..1..1....1..1..1....0..1..1....1..0..0....1..1..1
..1..1..1....1..1..1....1..1..1....1..0..1....1..1..0....1..1..1....1..1..1
..1..0..1....0..1..1....1..1..1....1..1..1....1..0..1....0..0..0....1..1..1
..0..1..1....1..1..0....1..0..1....0..1..1....0..1..1....1..1..1....1..0..0

Crossrefs

Sequence in context: A173113 A166844 A077688 * A049435 A327511 A215770

Adjacent sequences: A188709 A188710 A188711 * A188713 A188714 A188715

Keyword

nonn

Author

R. H. Hardin Apr 08 2011

Status

approved