A253520 Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically

9623, 42476, 84684, 162815, 370028, 930046, 2475610, 6886675, 19760474, 57829329, 171202242, 510066284, 1524744975, 4565782480, 13684014725, 41030420257, 123054948304, 369101554371, 1107190410316, 3321358741610, 9963671753637

Offset

1,1

Comments

Column 4 of A253524

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -51*a(n-2) +131*a(n-3) -205*a(n-4) +201*a(n-5) -121*a(n-6) +41*a(n-7) -6*a(n-8) for n>16

Example

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

Crossrefs

Sequence in context: A236715 A233913 A031653 * A254418 A254425 A237231

Adjacent sequences: A253517 A253518 A253519 * A253521 A253522 A253523

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved