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

Author

R. H. Hardin Nov 27 2011

Keywords

• nonn

Comments

Column 2 of A201155

Examples

			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
		

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)