A253764 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally and vertically

512, 2992, 2992, 16544, 23096, 16544, 82064, 164120, 164120, 82064, 423232, 1135439, 1622944, 1135439, 423232, 2154496, 8385264, 17235224, 17235224, 8385264, 2154496, 11244672, 60838168, 180950650, 259418152, 180950650

Offset

1,1

Comments

Table starts

......512......2992.......16544........82064.........423232..........2154496

.....2992.....23096......164120......1135439........8385264.........60838168

....16544....164120.....1622944.....17235224......180950650.......1922908527

....82064...1135439....17235224....259418152.....3910850069......59192461388

...423232...8385264...180950650...3910850069....84039781656....1846710080356

..2154496..60838168..1922908527..59192461388..1846710080356...58500640474944

.11244672.447022128.20282915690.905139371305.40521984254512.1850596722079477

Links

R. H. Hardin, Table of n, a(n) for n = 1..262

Formula

Empirical for column k:

k=1: [linear recurrence of order 8] for n>15

Example

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

Crossrefs

Sequence in context: A253801 A253794 A253961 * A253757 A250139 A254168

Adjacent sequences: A253761 A253762 A253763 * A253765 A253766 A253767

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2015

Status

approved