A236082 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise

81, 576, 576, 3992, 9979, 3992, 26088, 169680, 169680, 26088, 167892, 2634205, 7147799, 2634205, 167892, 1060410, 40097396, 271135379, 271135379, 40097396, 1060410, 6648825, 587963980, 10003171144, 25485868729, 10003171144, 587963980

Offset

1,1

Comments

Table starts

.........81...........576............3992.............26088.............167892

........576..........9979..........169680...........2634205...........40097396

.......3992........169680.........7147799.........271135379........10003171144

......26088.......2634205.......271135379.......25485868729......2353737191047

.....167892......40097396.....10003171144.....2353737191047....558542932337300

....1060410.....587963980....349054240169...204552132539376.126138961904040570

....6648825....8523145663..11883153992874.17233100445331692

...41411637..121700475056.392842405587563

..257111073.1728432778182

.1592383950

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 82]

Example

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

Crossrefs

Column 1 is A235737

Sequence in context: A237035 A237028 A235742 * A235737 A236490 A235437

Adjacent sequences: A236079 A236080 A236081 * A236083 A236084 A236085

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 19 2014

Status

approved