A203051 Number of nX2 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

6, 286, 7820, 177290, 4078368, 96511488, 2282090278, 53729637298, 1264907516536, 29797761325536, 701982503271882, 16535890993275488, 389515214599154626, 9175447823797074126, 216137962147112553480, 5091361932881161899850

Offset

1,1

Comments

Column 2 of A203057

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -50*a(n-2) +2261*a(n-3) +5179*a(n-4) +58301*a(n-5) +113102*a(n-6) +454821*a(n-7) +550157*a(n-8) +1071256*a(n-9) +600336*a(n-10) +518400*a(n-11)

Example

Some solutions for n=5
..1..2....2..4....1..1....5..1....0..2....4..5....0..5....5..0....0..3....2..1
..3..5....2..4....1..5....5..2....2..3....5..5....0..5....5..5....1..5....2..1
..3..5....3..0....0..5....2..1....4..3....2..2....1..0....2..1....2..5....0..2
..2..5....3..3....5..3....0..5....4..2....3..0....4..5....1..4....4..0....0..3
..0..2....1..0....5..1....1..5....3..2....4..4....3..5....4..4....5..5....2..3

Crossrefs

Sequence in context: A049679 A201139 A172660 * A128792 A340540 A027875

Adjacent sequences: A203048 A203049 A203050 * A203052 A203053 A203054

Keyword

nonn

Author

R. H. Hardin Dec 28 2011

Status

approved