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A201149
Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved