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A256810 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 0 or 1 and no column sum 0 or 1 9

%I

%S 32,86,86,237,312,237,641,1167,1167,641,1731,4219,5891,4219,1731,4690,

%T 15291,28655,28655,15291,4690,12707,55798,140031,187203,140031,55798,

%U 12707,34408,203129,688353,1226781,1226781,688353,203129,34408,93168

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 0 or 1 and no column sum 0 or 1

%C Table starts

%C .....32......86.......237.........641.........1731...........4690

%C .....86.....312......1167........4219........15291..........55798

%C ....237....1167......5891.......28655.......140031.........688353

%C ....641....4219.....28655......187203......1226781........8090191

%C ...1731...15291....140031.....1226781.....10791281.......95609517

%C ...4690...55798....688353.....8090191.....95609517.....1138136868

%C ..12707..203129...3375943....53254665....845074953....13512239171

%C ..34408..738760..16546465...350253925...7462718887...160298389688

%C ..93168.2689072..81148017..2304752967..65946786795..1902928304204

%C .252313.9788263.397969727.15167443677.582793811989.22590412601705

%H R. H. Hardin, <a href="/A256810/b256810.txt">Table of n, a(n) for n = 1..363</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +a(n-2) +7*a(n-3) +7*a(n-4) +3*a(n-5) -a(n-6) -6*a(n-7) -2*a(n-8)

%F k=2: [order 14]

%F k=3: [order 28]

%F k=4: [order 52]

%e Some solutions for n=4 k=4

%e ..0..1..1..0..1..1....1..1..0..1..1..0....0..1..1..1..0..1....1..1..1..0..1..1

%e ..1..1..0..1..1..1....0..1..1..1..0..1....1..0..1..1..1..0....1..0..1..1..1..1

%e ..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1

%e ..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..0..1..1....1..1..1..0..1..1

%e ..0..1..1..0..1..1....1..1..1..0..1..1....1..1..0..1..1..1....1..0..1..1..1..1

%e ..1..0..1..1..1..0....0..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 10 2015

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Last modified January 27 05:50 EST 2022. Contains 350601 sequences. (Running on oeis4.)