A265965 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself.

1, 3, 3, 2, 8, 2, 7, 50, 50, 7, 19, 1491, 150, 1491, 19, 35, 7741, 5582, 5582, 7741, 35, 77, 82424, 59454, 1111758, 59454, 82424, 77, 176, 763505, 809199, 74291246, 74291246, 809199, 763505, 176, 377, 6210500, 12253344, 4880049141, 16816210911

Offset

1,2

Comments

Table starts

...1.......3.........2..............7.................19..................35

...3.......8........50...........1491...............7741...............82424

...2......50.......150...........5582..............59454..............809199

...7....1491......5582........1111758...........74291246..........4880049141

..19....7741.....59454.......74291246........16816210911.......3057992438196

..35...82424....809199.....4880049141......3057992438196....1826477943263851

..77..763505..12253344...389508194942....853715037314662.1718918677426337400

.176.6210500.172499046.27699226366664.203178594217817141

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4)

k=2: [order 41]

Example

Some solutions for n=3 k=4
..0..4..1..2....2..2..3..1....0..3..3..1....1..4..0..2....0..2..1..0
..2..1..6..0....0..6..0..4....2..6..0..4....0..2..6..1....3..6..5..3
..3..2..1..2....2..2..4..0....2..1..4..0....3..3..1..2....1..0..2..0

Crossrefs

Column 1 is A196537.

Sequence in context: A158468 A238278 A200770 * A192787 A268724 A248569

Adjacent sequences: A265962 A265963 A265964 * A265966 A265967 A265968

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2015

Status

approved