A188846 Number of nX4 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally

12, 144, 908, 5711, 32204, 181557, 1001368, 5521489, 30306759, 166323490, 911899467, 4999341631, 27402344925, 150194353126, 823189068247, 4511728088822, 24727593668449, 135525199872089, 742775009335794

Offset

1,1

Comments

Column 4 of A188851

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +28*a(n-2) -6*a(n-3) -237*a(n-4) -150*a(n-5) +757*a(n-6) +891*a(n-7) -942*a(n-8) -1844*a(n-9) +173*a(n-10) +1695*a(n-11) +562*a(n-12) -619*a(n-13) -422*a(n-14) +78*a(n-16) +31*a(n-17) +4*a(n-18)

Example

Some solutions for 3X4
..0..1..0..1....1..0..1..1....1..1..1..1....0..1..0..1....1..0..0..0
..1..0..1..1....1..1..1..1....1..1..0..0....0..1..1..0....0..1..1..1
..0..1..0..0....1..0..1..1....1..1..0..0....0..0..0..0....0..1..1..0

Crossrefs

Sequence in context: A278121 A188609 A206873 * A190074 A188853 A188503

Adjacent sequences: A188843 A188844 A188845 * A188847 A188848 A188849

Keyword

nonn

Author

R. H. Hardin Apr 12 2011

Status

approved