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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
14
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 07 2015
STATUS
approved