A254819 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2703, 2703, 12730, 15848, 12730, 55904, 95110, 95110, 55904, 221858, 522294, 748444, 522294, 221858, 833037, 2691838, 5525547, 5525547, 2691838, 833037, 2977462, 13380696, 37573674, 52855290, 37573674, 13380696, 2977462, 10225464

Offset

1,1

Comments

Table starts

......512.......2703.......12730.........55904.........221858...........833037

.....2703......15848.......95110........522294........2691838.........13380696

....12730......95110......748444.......5525547.......37573674........247721056

....55904.....522294.....5525547......52855290......463784139.......4043573364

...221858....2691838....37573674.....463784139.....5252066348......59733054453

...833037...13380696...247721056....4043573364....59733054453.....913402797416

..2977462...64480314..1555784900...32502418874...617600165386...12435035618491

.10225464..303930381..9507310251..255406348232..6259013485112..165816689112144

.34028886.1410213321.56427672574.1922225812231.60421295621544.2098552515955862

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Formula

Empirical for column k:

k=1: [linear recurrence of order 58] for n>59

Example

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

Crossrefs

Column 1 is A254505

Sequence in context: A253820 A253813 A254512 * A254505 A253993 A258910

Adjacent sequences: A254816 A254817 A254818 * A254820 A254821 A254822

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2015

Status

approved