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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 27 23:11 EDT 2022. Contains 354903 sequences. (Running on oeis4.)