A254416 Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

470, 3279, 26783, 238639, 2182689, 20251190, 189197280, 1775014082, 16692481242, 157205933600, 1481804358552, 13974618847312, 131833559769176, 1243927351468696, 11738545341998160, 110780669523152824

Offset

1,1

Comments

Column 2 of A254422

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 21*a(n-1) -139*a(n-2) +191*a(n-3) +1344*a(n-4) -4896*a(n-5) +1972*a(n-6) +10548*a(n-7) -8240*a(n-8) -8576*a(n-9) +4704*a(n-10) +3072*a(n-11) for n>17

Example

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

Crossrefs

Sequence in context: A251772 A253518 A254423 * A251771 A251152 A345535

Adjacent sequences: A254413 A254414 A254415 * A254417 A254418 A254419

Keyword

nonn

Author

R. H. Hardin, Jan 30 2015

Status

approved