A220757 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX3 array

16, 268, 4328, 68212, 1094438, 17553448, 281649154, 4519836612, 72535767418, 1164089433866, 18681945395446, 299818413509296, 4811656811358998, 77220219019275294, 1239274253420409624, 19888582401879509716

Offset

1,1

Comments

Column 3 of A220761

Links

R. H. Hardin, Table of n, a(n) for n = 1..110

Formula

Empirical: a(n) = 18*a(n-1) -21*a(n-2) -138*a(n-3) -441*a(n-4) -137*a(n-5) +1764*a(n-6) -1136*a(n-7) +14709*a(n-8) +67123*a(n-9) +121526*a(n-10) -80625*a(n-11) -792044*a(n-12) -1086870*a(n-13) -773840*a(n-14) -232356*a(n-15) -156248*a(n-16) -229216*a(n-17) -86528*a(n-18)

Example

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

Crossrefs

Sequence in context: A187453 A333903 A218062 * A166908 A221089 A119290

Adjacent sequences: A220754 A220755 A220756 * A220758 A220759 A220760

Keyword

nonn

Author

R. H. Hardin Dec 19 2012

Status

approved