A254775 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2630, 2630, 11677, 11321, 11677, 48168, 50173, 55196, 48168, 185287, 207006, 295516, 250996, 185287, 689386, 876483, 1667480, 1901784, 1124228, 689386, 2473062, 3931849, 10062375, 14533460, 11736086, 5140919, 2473062, 8658471

Offset

1,1

Comments

Table starts

.......512.......2630........11677.........48168..........185287

......2630......11321........50173........207006..........876483

.....11677......55196.......295516.......1667480........10062375

.....48168.....250996......1901784......14533460.......115699004

....185287....1124228.....11736086.....113507484......1209604111

....689386....5140919.....72739438.....914580497.....13290735887

...2473062...23633202....462927268....7597019270....151619878261

...8658471..108849819...2925883667...62541963004...1698608889364

..29751063..502702408..18462927533..513132714629..18993236971642

.100670841.2323558628.116757027289.4230602003079.213707942364815

Links

R. H. Hardin, Table of n, a(n) for n = 1..240

Formula

Empirical for column k:

k=1: [linear recurrence of order 38] for n>42

k=2: [order 55] for n>65

k=3: [order 38] for n>51

k=4: [order 69] for n>81

Empirical for row n:

n=1: [same linear recurrence of order 38] for n>42

n=2: [order 75] for n>91

Example

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

Crossrefs

Column 1 and row 1 are A254721

Sequence in context: A257426 A254242 A254235 * A254728 A254721 A257189

Adjacent sequences: A254772 A254773 A254774 * A254776 A254777 A254778

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2015

Status

approved