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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
1
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
1,1
COMMENTS
Column 3 of A201451
LINKS
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)
EXAMPLE
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
CROSSREFS
Sequence in context: A317225 A273780 A033569 * A371311 A220772 A242135
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 01 2011
STATUS
approved