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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 1 13:19 EDT 2022. Contains 357148 sequences. (Running on oeis4.)