A254422 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

81, 470, 470, 2180, 3279, 2180, 9623, 25589, 26783, 9623, 42669, 229652, 423141, 238639, 42669, 192393, 2128339, 6880359, 6683795, 2182689, 192393, 876277, 19879926, 109896298, 199339608, 106821947, 20251190, 876277, 4010555

Offset

1,1

Comments

Table starts

.....81.......470........2180..........9623...........42669.............192393

....470......3279.......25589........229652.........2128339...........19879926

...2180.....26783......423141.......6880359.......109896298.........1753478415

...9623....238639.....6683795.....199339608......5865501284.......176249310185

..42669...2182689...106821947....5909079229....310310891535.....16806656467840

.192393..20251190..1701224592..176730239629..16692762023274...1673449182032706

.876277.189197280.27127649888.5319044439319.894001153490556.164418838931876650

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 6] for n>13

k=2: [order 11] for n>17

k=3: [order 25] for n>30

k=4: [order 60] for n>66

Empirical for row n:

n=1: [same recurrence of order 6] for n>13

n=2: [same order 11] for n>18

n=3: [same order 25] for n>32

n=4: [order 59] for n>67

Example

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

Crossrefs

Column 1 and row 1 are A253517

Sequence in context: A236349 A334036 A253524 * A253517 A237683 A236640

Adjacent sequences: A254419 A254420 A254421 * A254423 A254424 A254425

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2015

Status

approved