A250697 Number of (6+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

233300, 1647460, 8474002, 36673634, 143136866, 523260542, 1832718604, 6241479780, 20880237460, 69123618848, 227638279630, 748479312062, 2463064051982, 8124116088970, 26881398786600, 89272256311120

Offset: 1

Author

R. H. Hardin, Nov 26 2014

Keywords

• nonn

Comments

Row 6 of A250691

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..55

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)