A268001 Number of nX3 0..3 arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.

5, 187, 11051, 605969, 30785259, 1470330667, 67008101445, 2944599816411, 125706066735275, 5242030752088705, 214415067889783787, 8630067531496437419, 342667326200750867781, 13449611781551533928443, 522684986470551747072555

Offset

1,1

Comments

Column 3 of A268003.

Links

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

Formula

Empirical: a(n) = 124*a(n-1) -5667*a(n-2) +109756*a(n-3) -600624*a(n-4) -4644332*a(n-5) +20286127*a(n-6) +74454300*a(n-7) -192750803*a(n-8) -474040024*a(n-9) +743672544*a(n-10) +1126555256*a(n-11) -1288430571*a(n-12) -889741996*a(n-13) +948105695*a(n-14) +142093020*a(n-15) -241931952*a(n-16) +27042228*a(n-17) +11714301*a(n-18) -1828332*a(n-19) -59049*a(n-20)

Example

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

Crossrefs

Cf. A268003.

Sequence in context: A228694 A268178 A208410 * A096543 A209412 A353879

Adjacent sequences: A267998 A267999 A268000 * A268002 A268003 A268004

Keyword

nonn

Author

R. H. Hardin, Jan 24 2016

Status

approved