A258910 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally and vertically

512, 2736, 2736, 11872, 15416, 11872, 51856, 86968, 86968, 51856, 222400, 510095, 659792, 510095, 222400, 914112, 2769733, 5271330, 5271330, 2769733, 914112, 3644672, 14722533, 38603552, 58411404, 38603552, 14722533, 3644672, 14254784

Offset

1,1

Comments

Table starts

......512......2736.......11872........51856.........222400..........914112

.....2736.....15416.......86968.......510095........2769733........14722533

....11872.....86968......659792......5271330.......38603552.......279149887

....51856....510095.....5271330.....58411404......575237942......5661517795

...222400...2769733....38603552....575237942.....7595409032....100897843080

...914112..14722533...279149887...5661517795...100897843080...1832394625108

..3644672..77704089..2026873370..55658584373..1346660412346..33594417416223

.14254784.402403692.14414890711.532429444542.17454653713101.594433786098630

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 22]

Example

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

Crossrefs

Column 1 is A253986

Sequence in context: A254819 A254505 A253993 * A253986 A250826 A250504

Adjacent sequences: A258907 A258908 A258909 * A258911 A258912 A258913

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 14 2015

Status

approved