A250688 Number of (n+1)X(5+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.

47002, 249512, 1315446, 6671458, 31728758, 143136866, 617657415, 2571646112, 10412478449, 41269021168, 160968910027, 620573782940, 2373117015149, 9027885707796, 34248252841075, 129817387985168, 492449247898701

Offset: 1

Author

R. H. Hardin, Nov 26 2014

Keywords

• nonn

Comments

Column 5 of A250691

Examples

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

Links

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

Formula

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17