A186068 T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with each 3 X 3 subblock having a positive determinant.

6396, 85950, 85950, 1119798, 2594364, 1119798, 14499921, 73704654, 73704654, 14499921, 189215295, 1983108841, 4397457795, 1983108841, 189215295, 2464134402, 56342354623, 247063804348, 247063804348, 56342354623, 2464134402

Offset

1,1

Comments

Table starts:

.........6396..........85950.........1119798.........14499921........189215295

........85950........2594364........73704654.......1983108841......56342354623

......1119798.......73704654......4397457795.....247063804348...14979356975339

.....14499921.....1983108841....247063804348...29265455672501.3645051233578966

....189215295....56342354623..14979356975339.3645051233578966

...2464134402..1583479136326.883392377522107

..32080884108.43674791825894

.417846175365

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

Some solutions for 5 X 4:
..1..0..1..0....1..0..1..0....1..0..1..0....0..0..2..0....0..0..2..0
..2..0..0..2....2..0..0..1....1..0..0..2....1..0..0..1....1..0..0..1
..0..2..0..0....1..2..0..0....0..1..0..0....2..1..0..0....0..1..0..0
..0..1..2..0....2..0..2..1....2..1..2..1....0..1..2..0....0..1..2..0
..2..0..2..2....2..0..0..2....2..2..1..2....1..0..0..1....1..0..1..2

Crossrefs

Sequence in context: A206125 A322935 A253825 * A186064 A251454 A237954

Adjacent sequences: A186065 A186066 A186067 * A186069 A186070 A186071

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2011

Status

approved