A265878 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.

1, 3, 3, 5, 25, 5, 11, 137, 137, 11, 26, 2084, 1330, 2084, 26, 55, 14854, 30363, 30363, 14854, 55, 119, 136969, 544092, 4393458, 544092, 136969, 119, 263, 1288011, 9831410, 344222538, 344222538, 9831410, 1288011, 263, 573, 10892624, 185555660

Offset

1,2

Comments

Table starts

...1.......3.........5............11...............26...................55

...3......25.......137..........2084............14854...............136969

...5.....137......1330.........30363...........544092..............9831410

..11....2084.....30363.......4393458........344222538..........26635427570

..26...14854....544092.....344222538......90246574543.......21163068638346

..55..136969...9831410...26635427570...21163068638346....15698042741229661

.119.1288011.185555660.2364713952883.6441486693916691.16536262399332183012

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..1..2..0....0..0..1..2....2..1..4..1....1..4..3..0....0..3..3..2
..3..5..5..0....0..5..6..0....1..0..0..3....0..1..2..2....0..1..1..1
..0..0..0..0....0..0..3..1....1..3..4..0....2..3..3..0....1..1..0..2

Crossrefs

Column 1 is A196423.

Sequence in context: A365083 A196430 A366594 * A201496 A110426 A200562

Adjacent sequences: A265875 A265876 A265877 * A265879 A265880 A265881

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2015

Status

approved