A253961 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2992, 2992, 16544, 20868, 16544, 82064, 142800, 148332, 82064, 423232, 1022752, 1501724, 1048679, 423232, 2154496, 7533252, 15946360, 16186768, 7777096, 2154496, 11244672, 55225242, 167174472, 240903042, 168988280

Offset

1,1

Comments

Table starts

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

.....2992.....20868......142800......1022752........7533252.........55225242

....16544....148332.....1501724.....15946360......167174472.......1776422573

....82064...1048679....16186768....240903042.....3635332193......55074999330

...423232...7777096...168988280...3624943928....77993064012....1716319825801

..2154496..56216811..1798654745..55018824334..1717613401125...54401550145686

.11244672.413408572.18976071008.841599218625.37660244542860.1720060910899929

Links

R. H. Hardin, Table of n, a(n) for n = 1..283

Formula

Empirical for column k:

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

Empirical for row n:

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

Example

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

Crossrefs

Column 1 and row 1 are A253757

Sequence in context: A254189 A253801 A253794 * A253764 A253757 A250139

Adjacent sequences: A253958 A253959 A253960 * A253962 A253963 A253964

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 20 2015

Status

approved