A254728 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 and vertically

512, 2630, 2630, 11677, 14226, 11677, 48168, 76615, 76615, 48168, 185287, 364039, 520824, 364039, 185287, 689386, 1645201, 3438279, 3438279, 1645201, 689386, 2473062, 7620738, 21750375, 32264339, 21750375, 7620738, 2473062, 8658471

Offset

1,1

Comments

Table starts

......512......2630.......11677.........48168.........185287...........689386

.....2630.....14226.......76615........364039........1645201..........7620738

....11677.....76615......520824.......3438279.......21750375........138938314

....48168....364039.....3438279......32264339......264545705.......2224885924

...185287...1645201....21750375.....264545705.....2863637632......32722394252

...689386...7620738...138938314....2224885924....32722394252.....506044306865

..2473062..35110289...888613045...18677147321...369393588378....7806258134979

..8658471.160937385..5611704536..153918583667..4105206149596..118358703000421

.29751063.741804750.35547726137.1268250685728.46009312739781.1814886626676510

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Formula

Empirical for column k:

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

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

Example

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

Crossrefs

Sequence in context: A254242 A254235 A254775 * A254721 A257189 A254989

Adjacent sequences: A254725 A254726 A254727 * A254729 A254730 A254731

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2015

Status

approved