A250927 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

58, 344, 344, 2007, 4148, 2007, 11693, 50722, 50722, 11693, 68160, 628146, 1320397, 628146, 68160, 397432, 7811640, 34521887, 34521887, 7811640, 397432, 2317569, 97205912, 899626256, 1887760064, 899626256, 97205912, 2317569, 13514765

Offset

1,1

Comments

Table starts

.......58.........344...........2007.............11693................68160

......344........4148..........50722............628146..............7811640

.....2007.......50722........1320397..........34521887............899626256

....11693......628146.......34521887........1887760064.........102912852059

....68160.....7811640......899626256......102912852059.......11784958341212

...397432....97205912....23390844328.....5613563039740.....1352300043218971

..2317569..1209466635...607786907671...306543548743117...155249795843668280

.13514765.15047023115.15792648591051.16748448512897363.17818166218188667617

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -23*a(n-2) +29*a(n-3) -16*a(n-4) +4*a(n-5)

k=2: [order 13]

k=3: [order 31]

k=4: [order 81]

Example

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

Crossrefs

Sequence in context: A051972 A027987 A141779 * A250920 A235673 A235730

Adjacent sequences: A250924 A250925 A250926 * A250928 A250929 A250930

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 28 2014

Status

approved