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A189336 Number of nX2 binary arrays without the pattern 1 0 0 1 diagonally, vertically, antidiagonally or horizontally 2
4, 16, 64, 225, 784, 2704, 9409, 32761, 114244, 398161, 1387684, 4835601, 16851025, 58721569, 204633025, 713103616, 2485022500, 8659791364, 30177596089, 105162706944, 366470415424, 1277074025929, 4450340433889, 15508521343396 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A189343

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -a(n-2) -6*a(n-3) +12*a(n-4) -3*a(n-5) +3*a(n-6) -6*a(n-7) +a(n-8) -a(n-9) +a(n-10)

EXAMPLE

Some solutions for 4X2

..0..0....1..0....1..0....0..0....1..0....0..1....0..0....0..1....1..1....0..0

..1..1....1..0....0..0....1..0....1..0....0..1....1..1....1..0....0..1....1..1

..0..0....1..0....1..0....0..1....0..1....0..1....1..0....0..1....1..0....1..1

..0..1....0..1....1..1....0..1....1..1....0..0....0..1....1..0....0..1....1..1

CROSSREFS

A049864(n+2) squared

Sequence in context: A227312 A267729 A189154 * A262334 A065738 A248089

Adjacent sequences:  A189333 A189334 A189335 * A189337 A189338 A189339

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 20 2011

STATUS

approved

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Last modified January 20 08:54 EST 2022. Contains 350471 sequences. (Running on oeis4.)