A235584 Number of (n+1)X(1+1) 0..2 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

81, 549, 3459, 20537, 118383, 668041, 3720671, 20536617, 112678583, 615713801, 3355123119, 18247718361, 99114889783, 537869173209, 2917048830575, 15813348936265, 85698834939287, 464340717123881, 2515573121736751

Offset

1,1

Comments

Column 1 of A235588

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -172*a(n-3) +215*a(n-4) +1269*a(n-5) -1994*a(n-6) -4634*a(n-7) +7460*a(n-8) +8872*a(n-9) -13168*a(n-10) -8416*a(n-11) +10560*a(n-12) +3072*a(n-13) -3072*a(n-14)

Example

Some solutions for n=5
..0..1....0..0....2..0....1..2....2..0....2..0....1..2....0..1....1..2....0..2
..0..0....1..0....0..1....1..2....0..0....1..1....2..2....1..1....2..1....1..1
..0..1....2..1....0..1....0..2....0..0....1..0....2..1....1..0....1..0....0..2
..1..2....2..1....0..1....2..0....0..0....1..1....1..2....0..1....2..1....0..1
..1..2....1..0....0..2....2..0....1..2....1..0....2..0....2..2....1..2....1..0
..2..0....0..2....0..1....2..1....0..1....1..0....1..2....0..1....2..2....2..1

Crossrefs

Sequence in context: A235833 A235588 A206505 * A231973 A205894 A186536

Adjacent sequences: A235581 A235582 A235583 * A235585 A235586 A235587

Keyword

nonn

Author

R. H. Hardin, Jan 12 2014

Status

approved