A267789 Number of 3Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

6, 36, 216, 1056, 5004, 22110, 94554, 391314, 1582824, 6278400, 24520080, 94523100, 360449622, 1361930880, 5105718624, 19011717024, 70378031196, 259193957658, 950281765146, 3470120581542, 12626754295920, 45799000309176

Offset

1,1

Comments

Row 3 of A267788.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) -12*a(n-2) -40*a(n-3) +80*a(n-4) +100*a(n-5) -134*a(n-6) -160*a(n-7) +8*a(n-8) +48*a(n-9) +8*a(n-10) -4*a(n-11) -a(n-12)

Example

Some solutions for n=4
..0..0..1..0....0..1..0..1....0..0..1..1....0..1..0..1....1..1..0..1
..0..1..1..1....1..0..1..1....1..1..1..1....1..0..1..0....1..0..1..1
..1..0..0..0....1..0..1..0....1..0..0..0....0..0..0..1....0..1..1..0

Crossrefs

Cf. A267788.

Sequence in context: A216127 A337970 A124535 * A228737 A007274 A269616

Adjacent sequences: A267786 A267787 A267788 * A267790 A267791 A267792

Keyword

nonn

Author

R. H. Hardin, Jan 20 2016

Status

approved