A251167 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

96, 552, 552, 2658, 5054, 2658, 12001, 32083, 32083, 12001, 55131, 172457, 231618, 172457, 55131, 257417, 966212, 1452052, 1452052, 966212, 257417, 1201970, 5804029, 10194430, 12191612, 10194430, 5804029, 1201970, 5597648, 35120036

Offset

1,1

Comments

Table starts

.......96........552........2658........12001..........55131..........257417

......552.......5054.......32083.......172457.........966212.........5804029

.....2658......32083......231618......1452052.......10194430........77352519

....12001.....172457.....1452052.....12191612......109831980......1007412975

....55131.....966212....10194430....109831980.....1203787298.....13378444373

...257417....5804029....77352519...1007412975....13378444373....190531611192

..1201970...35120036...572903455...9109822648...151628039982...2775154020785

..5597648..209215196..4142817734..82472830043..1734021265531..39368472654312

.26056421.1237992428.30044582531.753010290232.19751591932782.550648311345318

Links

R. H. Hardin, Table of n, a(n) for n = 1..263

Formula

Empirical for column k:

k=1: [linear recurrence of order 11] for n>13

k=2: [order 24] for n>27

k=3: [order 51] for n>54

Example

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

Crossrefs

Sequence in context: A337303 A216372 A183684 * A251160 A233029 A216106

Adjacent sequences: A251164 A251165 A251166 * A251168 A251169 A251170

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2014

Status

approved