A258681 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum

320, 1600, 1600, 8320, 10000, 8320, 43264, 67600, 67600, 43264, 219648, 456976, 635440, 456976, 219648, 1115136, 2944656, 5973136, 5973136, 2944656, 1115136, 5744640, 18974736, 51939888, 78074896, 51939888, 18974736, 5744640, 29593600

Offset

1,1

Comments

Table starts

......320......1600........8320.........43264.........219648..........1115136

.....1600.....10000.......67600........456976........2944656.........18974736

.....8320.....67600......635440.......5973136.......51939888........451647504

....43264....456976.....5973136......78074896......916151824......10750371856

...219648...2944656....51939888.....916151824....14229592160.....221012814400

..1115136..18974736...451647504...10750371856...221012814400....4543718560000

..5744640.125888400..4096960560..133333061904..3662507469600..100604912040000

.29593600.835210000.37164128400.1653682833936.60693136736400.2227547369610000

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +32*a(n-3) +256*a(n-4)

k=2: [order 8]

k=3: [order 30]

k=4: [order 27]

Example

Some solutions for n=2 k=4
..0..0..0..0..1..1....0..0..1..0..1..1....0..0..1..0..0..1....0..0..1..0..1..1
..1..0..1..0..0..1....0..1..1..0..0..1....1..0..0..0..0..0....1..1..0..0..0..1
..0..1..1..0..0..0....1..0..1..1..0..1....1..1..0..0..1..0....1..0..0..1..1..1
..1..1..0..0..1..0....1..0..0..1..1..0....0..1..1..0..0..1....0..1..0..1..1..1

Crossrefs

Sequence in context: A293921 A121010 A110289 * A258674 A237326 A055863

Adjacent sequences: A258678 A258679 A258680 * A258682 A258683 A258684

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 07 2015

Status

approved