A253863 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically

512, 3264, 3264, 19456, 30848, 19456, 114880, 291392, 291392, 114880, 660480, 2654464, 4186496, 2654464, 660480, 3727552, 22951616, 54933632, 54933632, 22951616, 3727552, 20872192, 196953728, 700079360, 1095205120, 700079360

Offset

1,1

Comments

Table starts

.......512.........3264..........19456...........114880.............660480

......3264........30848.........291392..........2654464...........22951616

.....19456.......291392........4186496.........54933632..........700079360

....114880......2654464.......54933632.......1095205120........21906994304

....660480.....22951616......700079360......21906994304.......664082571648

...3727552....196953728.....9090451328.....440235663616.....20237970640000

..20872192...1698464064...118920758784....8790291559808....612253982192000

.116568256..14584992256..1541740409984..174215495453184..18456265054053248

.649733120.125182611904.20040279401216.3458303106355840.555946540182616960

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 29]

k=3: [order 70]

Example

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

Crossrefs

Sequence in context: A254457 A254161 A254491 * A253856 A253871 A253544

Adjacent sequences: A253860 A253861 A253862 * A253864 A253865 A253866

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 17 2015

Status

approved