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A237007
T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the upper median plus the lower median of every 2 X 2 subblock equal.
8
256, 1200, 1200, 5288, 10000, 5288, 26320, 79164, 79164, 26320, 131280, 762724, 1150036, 762724, 131280, 677344, 7370124, 22056220, 22056220, 7370124, 677344, 3518120, 74701920, 411646536, 880923796, 411646536, 74701920, 3518120
OFFSET
1,1
COMMENTS
Table starts
......256........1200...........5288.............26320...............131280
.....1200.......10000..........79164............762724..............7370124
.....5288.......79164........1150036..........22056220............411646536
....26320......762724.......22056220.........880923796..........33233608132
...131280.....7370124......411646536.......33233608132........2436563812004
...677344....74701920.....8124638140.....1329345087772......191579721419964
..3518120...760932408...158569999540....52079122983140....14586236067453980
.18477584..7859816444..3140246502408..2070941611511776..1132213042481221540
.97461616.81402789128.61933486884504.81772162000490880.86956201802583194276
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 15]
k=2: [order 42]
EXAMPLE
Some solutions for n=2, k=4
..0..1..3..1..1....0..2..2..3..2....0..2..0..2..3....0..2..0..1..3
..1..1..1..1..1....2..2..2..2..2....2..1..2..1..1....3..0..3..1..1
..0..2..1..0..2....1..3..0..2..2....1..2..0..3..2....1..1..1..0..3
CROSSREFS
Sequence in context: A206111 A237211 A237204 * A237000 A236979 A236973
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 02 2014
STATUS
approved