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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
32, 86, 86, 237, 312, 237, 641, 1167, 1167, 641, 1731, 4219, 5891, 4219, 1731, 4690, 15291, 28655, 28655, 15291, 4690, 12707, 55798, 140031, 187203, 140031, 55798, 12707, 34408, 203129, 688353, 1226781, 1226781, 688353, 203129, 34408, 93168 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....32......86.......237.........641.........1731...........4690

.....86.....312......1167........4219........15291..........55798

....237....1167......5891.......28655.......140031.........688353

....641....4219.....28655......187203......1226781........8090191

...1731...15291....140031.....1226781.....10791281.......95609517

...4690...55798....688353.....8090191.....95609517.....1138136868

..12707..203129...3375943....53254665....845074953....13512239171

..34408..738760..16546465...350253925...7462718887...160298389688

..93168.2689072..81148017..2304752967..65946786795..1902928304204

.252313.9788263.397969727.15167443677.582793811989.22590412601705

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..363

FORMULA

Empirical for column k:

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)

k=2: [order 14]

k=3: [order 28]

k=4: [order 52]

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..0..1..1....1..1..0..1..1..0....0..1..1..1..0..1....1..1..1..0..1..1

..1..1..0..1..1..1....0..1..1..1..0..1....1..0..1..1..1..0....1..0..1..1..1..1

..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1

..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..0..1..1....1..1..1..0..1..1

..0..1..1..0..1..1....1..1..1..0..1..1....1..1..0..1..1..1....1..0..1..1..1..1

..1..0..1..1..1..0....0..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..1..1

CROSSREFS

Sequence in context: A043410 A044170 A044551 * A256803 A229721 A184029

Adjacent sequences:  A256807 A256808 A256809 * A256811 A256812 A256813

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 10 2015

STATUS

approved

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Last modified November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)