A189259 Number of nX4 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally

12, 144, 1156, 8900, 65760, 481552, 3510380, 25556548, 185975588, 1353139492, 9844797788, 71624858188, 521097138012, 3791166287372, 27582062117196, 200669125155708, 1459937829727116, 10621556383444668, 77275523001250188

Offset

1,1

Comments

Column 4 of A189264

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -9*a(n-2) -27*a(n-3) +62*a(n-4) -522*a(n-5) +730*a(n-6) +2202*a(n-7) -3620*a(n-8) +5768*a(n-9) -7920*a(n-10) -45696*a(n-11) +71680*a(n-12) +75424*a(n-13) -146112*a(n-14) +13984*a(n-15) +51072*a(n-16) -17024*a(n-17) for n>18

Example

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

Crossrefs

Sequence in context: A206890 A188758 A207090 * A189612 A207183 A188987

Adjacent sequences: A189256 A189257 A189258 * A189260 A189261 A189262

Keyword

nonn

Author

R. H. Hardin Apr 19 2011

Status

approved