A254020 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

512, 2540, 2540, 9560, 7212, 9560, 35272, 23295, 26370, 35272, 123448, 81959, 89310, 98002, 123448, 404672, 261188, 301423, 313324, 279743, 404672, 1267488, 806538, 832322, 1016249, 642050, 774662, 1267488, 3838248, 2368198, 2360757, 2822619

Offset

1,1

Comments

Table starts

......512.....2540.....9560....35272...123448...404672...1267488...3838248

.....2540.....7212....23295....81959...261188...806538...2368198...6624259

.....9560....26370....89310...301423...832322..2360757...6432784..15616153

....35272....98002...313324..1016249..2822619..8285305..21891465..45311405

...123448...279743...642050..1704423..3486340..8213023..18851978..39885980

...404672...774662..1467412..3145824..5870794.12820652..28891318..56477396

..1267488..2035893..3051110..6033603.12254144.26519069..45398628..79505757

..3838248..5114873..6150750.10739096.19987425.34765879..57587604.102538840

.11314584.12474341.12535008.18887562.26795890.46504548..84247446.154935679

.32633748.29590558.24511673.33697678.47595465.78312596.134567960.236970540

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Formula

Empirical for column k:

k=1: [linear recurrence of order 43] for n>46

Empirical for row n:

n=1: [same linear recurrence of order 43] for n>46

Example

Some solutions for n=3 k=4
..0..0..0..1..1..1....0..0..1..1..0..1....0..0..0..0..0..0....0..0..1..1..0..0
..0..0..0..1..0..1....0..0..0..0..0..1....0..0..0..1..0..0....0..1..0..1..0..1
..1..1..1..1..0..0....1..1..1..1..1..1....0..1..0..0..0..1....1..1..0..1..0..1
..1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1....1..1..1..1..1..1
..0..1..1..1..1..1....0..0..1..0..1..1....1..0..1..1..0..0....0..0..1..0..1..0

Crossrefs

Sequence in context: A254845 A254838 A257784 * A254894 A254013 A255036

Adjacent sequences: A254017 A254018 A254019 * A254021 A254022 A254023

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 22 2015

Status

approved