A267730 Number of nX3 0..1 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

8, 64, 512, 3375, 21952, 132651, 778688, 4410944, 24389000, 131872229, 700227072, 3659383421, 18863581528, 96071912000, 484106454208, 2416353439059, 11958715956032, 58732317850311, 286451826688000, 1388285542167616

Offset

1,1

Comments

Column 3 of A267735.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -30*a(n-2) -120*a(n-3) +455*a(n-4) +576*a(n-5) -2142*a(n-6) -1980*a(n-7) +3180*a(n-8) +1980*a(n-9) -2142*a(n-10) -576*a(n-11) +455*a(n-12) +120*a(n-13) -30*a(n-14) -12*a(n-15) -a(n-16)

Example

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

Crossrefs

Cf. A267735.

Sequence in context: A125498 A193539 A228739 * A189155 A189337 A262335

Adjacent sequences: A267727 A267728 A267729 * A267731 A267732 A267733

Keyword

nonn

Author

R. H. Hardin, Jan 20 2016

Status

approved