A239157 Number of (4+1)X(n+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order

17, 208, 5775, 135766, 3313304, 80240064, 1946535209, 47203774762, 1144788832875, 27763021735024, 673301630092412, 16328724383102508, 395999761775761841, 9603677662310968264, 232905759724044440751

Offset

1,1

Comments

Row 4 of A239155

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +125*a(n-2) -466*a(n-3) -1721*a(n-4) +3476*a(n-5) +3342*a(n-6) -3082*a(n-7) -5349*a(n-8) -4488*a(n-9) +8976*a(n-10) +2826*a(n-11) -2862*a(n-12) -324*a(n-13) +243*a(n-14)

Example

Some solutions for n=4
..0..1..1..2..3....0..1..2..0..3....0..1..0..0..1....0..1..0..2..0
..0..1..1..2..3....0..1..2..0..3....0..1..0..0..1....0..1..0..2..0
..0..1..0..1..3....0..1..0..0..3....0..1..0..0..1....0..1..0..1..3
..0..2..0..1..3....2..0..0..2..3....1..2..0..3..0....3..0..3..1..3
..0..2..0..1..3....2..0..0..2..3....1..2..0..3..0....3..0..3..1..3

Crossrefs

Sequence in context: A158009 A158005 A158006 * A014921 A081035 A016299

Adjacent sequences: A239154 A239155 A239156 * A239158 A239159 A239160

Keyword

nonn

Author

R. H. Hardin, Mar 11 2014

Status

approved