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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A201451

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)

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 * A220772 A242135 A332981

Adjacent sequences:  A201443 A201444 A201445 * A201447 A201448 A201449

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 01 2011

STATUS

approved

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Last modified June 12 07:43 EDT 2021. Contains 344943 sequences. (Running on oeis4.)