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