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A237677
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
6
256, 1564, 1564, 9647, 14244, 9647, 63000, 132572, 132572, 63000, 412120, 1346420, 1915153, 1346420, 412120, 2668500, 13569422, 30618976, 30618976, 13569422, 2668500, 17280632, 134401476, 482106388, 796647426, 482106388, 134401476
OFFSET
1,1
COMMENTS
Table starts
........256.........1564..........9647..........63000.........412120
.......1564........14244........132572........1346420.......13569422
.......9647.......132572.......1915153.......30618976......482106388
......63000......1346420......30618976......796647426....20221334140
.....412120.....13569422.....482106388....20221334140...818214906406
....2668500....134401476....7419017752...498113608930.31933527869372
...17280632...1333046350..114668103482.12343384024320
..112196812..13340078386.1793614472940
..729345568.133387449994
.4730716616
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 44] for n>45
EXAMPLE
Some solutions for n=2 k=4
..0..0..1..2..0....0..2..2..0..2....0..2..1..2..0....0..0..3..3..1
..2..1..1..0..0....2..1..2..2..3....1..0..2..2..0....2..3..1..2..2
..1..1..1..1..2....0..3..1..1..1....1..1..1..0..1....0..3..2..3..2
CROSSREFS
Sequence in context: A218525 A237403 A237399 * A237672 A237921 A237915
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 11 2014
STATUS
approved