A253314 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

81, 518, 518, 3550, 1752, 3550, 23524, 10064, 10064, 23524, 157476, 43220, 64560, 43220, 157476, 1051870, 214676, 266074, 266074, 214676, 1051870, 7027770, 1053094, 1547188, 516928, 1547188, 1053094, 7027770, 46953514, 5067576, 8858020

Offset

1,1

Comments

Table starts

.........81.......518........3550......23524......157476....1051870

........518......1752.......10064......43220......214676....1053094

.......3550.....10064.......64560.....266074.....1547188....8858020

......23524.....43220......266074.....516928.....2643738....6728458

.....157476....214676.....1547188....2643738....16534784...53883500

....1051870...1053094.....8858020....6728458....53883500...45899840

....7027770...5067576....51974842...30117394...300393602..352580820

...46953514..24964956...316785048...99695754..1497743060..411726542

..313711862.121517288..1889816848..410717008..8035298482.2447644466

.2095963398.593800326.11520937494.1591420928.45266774466.4549989670

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 39] for n>41

k=3: [order 49] for n>55

k=4: [order 62] for n>73

k=5: [order 51] for n>69

k=6: [order 50] for n>64

k=7: [order 51] for n>64

Example

Some solutions for n=3 k=4
..0..0..0..0..2....0..2..0..0..1....1..0..1..1..0....1..2..0..0..0
..0..1..0..1..1....0..1..1..0..1....1..0..0..2..0....0..0..1..0..0
..2..0..2..0..1....2..0..0..2..0....0..0..2..0..1....1..2..0..0..2
..1..0..1..0..0....0..1..2..1..0....2..0..1..2..2....1..0..0..0..1

Crossrefs

Sequence in context: A183428 A236663 A236645 * A253662 A253731 A236658

Adjacent sequences: A253311 A253312 A253313 * A253315 A253316 A253317

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 30 2014

Status

approved