A237015 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal

256, 704, 704, 1936, 1632, 1936, 5984, 3928, 3928, 5984, 18496, 10776, 8416, 10776, 18496, 61472, 30248, 20776, 20776, 30248, 61472, 204304, 92328, 53200, 46416, 53200, 92328, 204304, 712352, 286168, 149608, 108824, 108824, 149608, 286168

Offset

1,1

Comments

Table starts

.....256......704.....1936.....5984....18496....61472...204304...712352

.....704.....1632.....3928....10776....30248....92328...286168...938568

....1936.....3928.....8416....20776....53200...149608...431584..1327432

....5984....10776....20776....46416...108824...282048...755752..2169408

...18496....30248....53200...108824...235456...566936..1419088..3823352

...61472....92328...149608...282048...566936..1274544..2995048..7603440

..204304...286168...431584...755752..1419088..2995048..6637792.15955528

..712352...938568..1327432..2169408..3823352..7603440.15955528

.2483776..3112424..4162576..6387224.10606336.19947032

.8957984.10749192.13679848.19785696.31051928

Links

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

Formula

Empirical for column k (apparently all rows and columns satisfy the same order 15 linear recurrence):

k=1..6: [same linear recurrence of order 15]

Example

Some solutions for n=4 k=4
..0..1..1..1..2....1..2..2..0..1....2..0..3..0..2....1..1..2..2..2
..2..0..1..0..0....1..1..0..3..1....3..1..2..1..3....3..1..2..0..2
..0..1..1..1..2....1..2..2..0..1....0..2..1..2..0....0..2..1..3..1
..2..0..1..0..0....2..0..1..2..2....2..2..1..2..2....2..2..1..1..1
..1..0..2..0..3....0..3..1..1..0....2..0..3..0..2....1..1..2..2..2

Crossrefs

Sequence in context: A329488 A086061 A235092 * A237008 A045057 A195091

Adjacent sequences: A237012 A237013 A237014 * A237016 A237017 A237018

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2014

Status

approved