A236490 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

81, 583, 583, 3987, 9839, 3987, 26091, 156087, 155757, 26091, 167095, 2339313, 5674353, 2330087, 167095, 1054515, 34149421, 192914141, 192685833, 33951181, 1054515, 6595119, 489696691, 6339553813, 14826588345, 6319589033, 486130993

Offset

1,1

Comments

Table starts

.......81.........583............3987..............26091..............167095

......583........9839..........156087............2339313............34149421

.....3987......155757.........5674353..........192914141..........6339553813

....26091.....2330087.......192685833........14826588345.......1098468030593

...167095....33951181......6319589033......1095464601321.....182308906034159

..1054515...486130993....202321147069.....78726807207771...29352647489506731

..6595119..6894201989...6387140371741...5564322438106237.4636588642195617443

.41000659.97206875033.199871719030679.389132366606307561

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)

k=2: [order 30]

Empirical for row n:

n=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)

n=2: [order 34]

Example

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

Crossrefs

Column and row 1 are A235432

Sequence in context: A235742 A236082 A235737 * A235437 A235432 A206064

Adjacent sequences: A236487 A236488 A236489 * A236491 A236492 A236493

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 27 2014

Status

approved