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A253863
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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
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8
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..179
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 11]
k=2: [order 29]
k=3: [order 70]
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A254457 A254161 A254491 * A253856 A253871 A253544
Adjacent sequences: A253860 A253861 A253862 * A253864 A253865 A253866
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Jan 17 2015
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STATUS
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approved
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