A253518 Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically

470, 2724, 10706, 42476, 169828, 666239, 2544290, 9487609, 34708223, 125073383, 445366221, 1570787157, 5497239465, 19116068115, 66122139143, 227698505309, 781152679575, 2671258578159, 9109590605625, 30991996131693, 105221851758701

Offset

1,1

Comments

Column 2 of A253524

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -81*a(n-2) +248*a(n-3) -419*a(n-4) +338*a(n-5) +17*a(n-6) -264*a(n-7) +196*a(n-8) -48*a(n-9) for n>17

Example

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

Crossrefs

Sequence in context: A104744 A251779 A251772 * A254423 A254416 A251771

Adjacent sequences: A253515 A253516 A253517 * A253519 A253520 A253521

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved