A204501 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically.

3971, 46458, 46458, 699151, 339311, 699151, 6047817, 3418839, 3418839, 6047817, 65606908, 42736635, 18296109, 42736635, 65606908, 797822969, 493398441, 306913392, 306913392, 493398441, 797822969, 8067170432, 5506995671

Offset

1,1

Comments

Table starts

........3971........46458........699151........6047817........65606908

.......46458.......339311.......3418839.......42736635.......493398441

......699151......3418839......18296109......306913392......3151347159

.....6047817.....42736635.....306913392.....2046727035.....22441401117

....65606908....493398441....3151347159....22441401117....208673819127

...797822969...5506995671...29239334379...402163470675...2160920648295

..8067170432..66134172894..379274173335..3197724403266..23772717607473

.86968465645.768258278406.3641409829935.31176861440274.276423235451370

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Example

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

Crossrefs

Sequence in context: A393871 A031561 A031741 * A204494 A184492 A204493

Adjacent sequences: A204498 A204499 A204500 * A204502 A204503 A204504

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2012

Status

approved