A201446 Number of nX3 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

4, 21, 52, 29, 246, 701, 844, 426, 2478, 5990, 6334, 2358, 13766, 29096, 26976, 9735, 50294, 100963, 89428, 29011, 149198, 283043, 237216, 75948, 368044, 680922, 557638, 169158, 816740, 1464838, 1163616, 350485, 1633894, 2887309, 2261850

Offset: 1

Author

R. H. Hardin Dec 01 2011

Keywords

• nonn

Comments

Column 3 of A201451

Examples

			Some solutions for n=10
..0..0..2....0..0..0....0..0..0....0..0..2....0..0..0....0..0..0....0..0..1
..0..0..2....0..0..1....0..0..0....0..1..2....0..0..1....0..1..2....0..1..1
..0..1..2....0..0..2....0..0..1....0..1..2....0..1..2....0..1..2....0..1..2
..0..1..3....1..1..3....1..1..2....0..1..2....0..2..3....0..1..2....0..2..2
..0..1..3....1..1..3....1..1..2....0..1..2....1..2..3....0..1..2....0..2..2
..0..1..3....1..1..3....1..2..2....0..1..2....1..2..3....1..1..2....0..2..3
..1..2..3....1..2..3....1..2..2....1..1..3....1..2..3....1..3..3....0..2..3
..1..2..3....2..2..3....2..3..3....1..2..3....1..2..3....2..3..3....1..2..3
..1..2..3....2..2..3....3..3..3....3..3..3....1..2..3....2..3..3....1..3..3
..2..2..3....2..2..3....3..3..3....3..3..3....1..3..3....2..3..3....1..3..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..164

Formula

Empirical: a(n) = 2*a(n-4) +3*a(n-8) -8*a(n-12) -a(n-16) +10*a(n-20) -5*a(n-24) +5*a(n-32) -10*a(n-36) +a(n-40) +8*a(n-44) -3*a(n-48) -2*a(n-52) +a(n-56)