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A237472
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
9
81, 356, 356, 1566, 2308, 1566, 6954, 14968, 14968, 6954, 30913, 99086, 143780, 99086, 30913, 136488, 651906, 1417638, 1417638, 651906, 136488, 603184, 4259914, 13827553, 21134116, 13827553, 4259914, 603184, 2671904, 27861088, 133796732
OFFSET
1,1
COMMENTS
Table starts
.......81........356..........1566............6954.............30913
......356.......2308.........14968...........99086............651906
.....1566......14968........143780.........1417638..........13827553
.....6954......99086.......1417638........21134116.........309663940
....30913.....651906......13827553.......309663940........6781496755
...136488....4259914.....133796732......4493037466......146338935672
...603184...27861088....1299276552.....65361132006.....3172303208646
..2671904..183385520...12704622556....963521033936....70036020900600
.11847888.1204325662..123775917000..14101784196522..1531559920766744
.52383008.7888272520.1201726394292.205512527589358.33246113906104588
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 288*a(n-4) +1840*a(n-6) +784*a(n-8)
k=2: [order 14]
k=3: [order 56]
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1..1....0..0..0..0..1....0..0..0..1..2....0..0..0..1..0
..1..0..2..2..0....1..1..2..0..0....0..2..1..0..0....0..2..1..2..2
..2..1..2..2..1....0..1..1..2..2....2..1..1..1..1....1..0..1..2..0
..0..0..1..1..1....0..1..1..1..0....2..2..2..1..1....1..2..2..2..1
CROSSREFS
Sequence in context: A237730 A237317 A237723 * A237465 A236997 A236065
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 08 2014
STATUS
approved