A268178 Number of nX3 0..3 arrays with every repeated value in every row equal to, and in every column unequal to, the previous repeated value, and new values introduced in row-major sequential order.

5, 187, 9054, 494098, 25770278, 1339895662, 68390077014, 3463876525750, 173821913942582, 8669861062288198, 430055421776241462, 21243060963214339750, 1045628843830767904502, 51323318125992835472806

Offset

1,1

Comments

Column 3 of A268180.

Links

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

Formula

Empirical: a(n) = 108*a(n-1) -2343*a(n-2) -95508*a(n-3) +3418760*a(n-4) +23547420*a(n-5) -1342943052*a(n-6) -883192104*a(n-7) +173217160160*a(n-8) -342228942720*a(n-9) -5613350923584*a(n-10) +8457106112640*a(n-11) +55966350739968*a(n-12) -69629468894208*a(n-13) -198751111188480*a(n-14) +222436679786496*a(n-15) +215814907920384*a(n-16) -228509902503936*a(n-17) for n>19

Example

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

Crossrefs

Cf. A268180.

Sequence in context: A094081 A189645 A228694 * A208410 A268001 A096543

Adjacent sequences: A268175 A268176 A268177 * A268179 A268180 A268181

Keyword

nonn

Author

R. H. Hardin, Jan 28 2016

Status

approved