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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 07 2015
STATUS
approved

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Last modified May 23 22:02 EDT 2024. Contains 372765 sequences. (Running on oeis4.)