A203600 T(n,k)=Number of nXk 0..2 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other

3, 9, 9, 18, 16, 18, 26, 46, 46, 26, 26, 16, 172, 16, 26, 12, 596, 1430, 1430, 596, 12, 98, 936, 17452, 20000, 17452, 936, 98, 366, 5326, 225034, 584450, 584450, 225034, 5326, 366, 796, 64452, 3278068, 37380604, 8227090, 37380604, 3278068, 64452, 796, 996

Offset

1,1

Comments

Table starts

...3.....9.......18........26.........26.........12........98.........366

...9....16.......46........16........596........936......5326.......64452

..18....46......172......1430......17452.....225034...3278068....44996822

..26....16.....1430.....20000.....584450...37380604.126312616.51978629884

..26...596....17452....584450....8227090.3806301462

..12...936...225034..37380604.3806301462

..98..5326..3278068.126312616

.366.64452.44996822

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for n=5 k=3
..1..0..0....0..1..2....2..2..2....0..0..0....1..0..0....2..1..0....1..1..0
..1..1..0....0..2..2....1..2..1....1..1..0....1..2..2....1..0..0....2..2..0
..2..0..0....2..1..2....0..0..2....1..2..2....1..2..2....1..2..0....2..1..0
..2..2..2....2..0..0....0..0..2....0..2..1....0..1..2....2..2..0....2..0..0
..1..2..1....0..0..1....1..1..0....0..2..2....0..0..0....2..2..1....2..1..1

Crossrefs

Sequence in context: A063750 A143225 A223195 * A099720 A183149 A223933

Adjacent sequences: A203597 A203598 A203599 * A203601 A203602 A203603

Keyword

nonn,tabl

Author

R. H. Hardin Jan 03 2012

Status

approved