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.

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

R. H. Hardin, Table of n, a(n) for n = 1..112

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

Adjacent sequences: A237004 A237005 A237006 * A237008 A237009 A237010

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2014

Status

approved