A201149 Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally

6, 20, 56, 140, 330, 745, 1634, 3504, 7388, 15366, 31612, 64446, 130391, 262113, 523984, 1042433, 2065098, 4075761, 8017395, 15724110, 30756544, 60014931, 116849951, 227054267, 440389499, 852738289, 1648633351, 3182830233

Offset

1,1

Comments

Column 2 of A201155

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +4*a(n-3) +39*a(n-4) -56*a(n-5) +2*a(n-6) +59*a(n-7) -49*a(n-8) -5*a(n-9) +29*a(n-10) -14*a(n-11) -2*a(n-12) +4*a(n-13) -a(n-14)

Example

Some solutions for n=10
..0..1....0..0....0..0....0..0....0..0....0..0....0..1....0..1....0..0....0..0
..0..1....0..0....0..0....0..0....0..0....0..2....0..1....0..1....0..0....0..0
..0..2....0..0....1..2....0..2....0..2....0..1....0..1....0..2....0..0....0..0
..1..2....0..2....2..2....0..1....0..2....1..1....0..1....0..2....0..1....0..1
..2..2....0..2....1..2....0..1....1..2....1..2....2..2....1..2....0..1....0..2
..1..2....0..2....2..2....1..1....1..2....1..2....1..2....1..2....0..1....0..2
..1..2....1..1....1..2....1..2....1..2....1..2....2..2....1..2....0..2....0..2
..1..2....1..1....2..2....1..2....1..2....1..2....2..2....2..2....0..1....1..1
..1..2....1..2....2..2....2..2....1..2....1..2....1..2....2..2....1..1....1..1
..2..2....1..2....2..2....1..2....2..2....2..2....1..2....2..2....1..2....2..2

Crossrefs

Sequence in context: A323640 A249406 A220020 * A260777 A014480 A048778

Adjacent sequences: A201146 A201147 A201148 * A201150 A201151 A201152

Keyword

nonn

Author

R. H. Hardin Nov 27 2011

Status

approved