A189612 Number of n X 4 binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.

12, 144, 1164, 8496, 65160, 515560, 4075336, 32031600, 251533888, 1976926440, 15543816656, 122208548968, 960755182696, 7553047614920, 59379727197728, 466827426445200, 3670067881137352, 28853031765433504, 226834374728410104

Offset

1,1

Comments

Column 4 of A189617.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -29*a(n-2) -69*a(n-3) +512*a(n-4) -1626*a(n-5) +60*a(n-6) +9924*a(n-7) -9708*a(n-8) +1120*a(n-9) +1064*a(n-10) -73360*a(n-11) +46560*a(n-12) +40960*a(n-13) +31616*a(n-14) +147456*a(n-15) -64000*a(n-16) -110592*a(n-17) -16384*a(n-18) -32768*a(n-19).

Example

Some solutions for 3 X 4
..1..1..1..1....0..1..1..0....1..1..0..0....1..0..0..0....1..1..1..0
..1..1..0..1....1..1..0..1....1..1..1..0....1..0..1..1....0..1..1..0
..0..0..1..1....1..0..1..1....1..1..1..0....1..1..0..1....0..1..1..1

Crossrefs

Cf. A189617.

Sequence in context: A188758 A207090 A189259 * A207183 A188987 A189697

Adjacent sequences: A189609 A189610 A189611 * A189613 A189614 A189615

Keyword

nonn

Author

R. H. Hardin, Apr 24 2011

Status

approved