A205215 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

81, 452, 452, 1970, 3248, 1970, 8128, 23578, 23578, 8128, 33386, 203313, 357812, 203313, 33386, 139390, 1846145, 5500266, 5500266, 1846145, 139390, 588254, 17014174, 82656765, 155765726, 82656765, 17014174, 588254, 2496440, 157776973

Offset

1,1

Comments

Table starts

......81........452.........1970............8128.............33386

.....452.......3248........23578..........203313...........1846145

....1970......23578.......357812.........5500266..........82656765

....8128.....203313......5500266.......155765726........4357148705

...33386....1846145.....82656765......4357148705......209120030041

..139390...17014174...1236875696....126335408689....10699762239543

..588254..157776973..18436719991...3665236234914...529074884034056

.2496440.1467364433.274894006610.107599177704443.26696996142924073

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

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

Crossrefs

Sequence in context: A235406 A253742 A204223 * A206223 A236669 A205208

Adjacent sequences: A205212 A205213 A205214 * A205216 A205217 A205218

Keyword

nonn,tabl

Author

R. H. Hardin Jan 23 2012

Status

approved