A214135 Number of 0..4 colorings on an nX3 array circular in the 3 direction with new values 0..4 introduced in row major order

1, 17, 514, 16388, 524296, 16777232, 536870944, 17179869248, 549755814016, 17592186044672, 562949953421824, 18014398509483008, 576460752303425536, 18446744073709555712, 590295810358705659904, 18889465931478580871168

Offset

1,2

Comments

Column 2 of A214141

Links

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

Formula

Empirical: a(n) = 34*a(n-1) -64*a(n-2).

Empirical: 2^(n-2)+32^(n-1)/2. G.f. -x*(-1+17*x) / ( (32*x-1)*(2*x-1) ). - R. J. Mathar, Jul 05 2012

Example

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

Crossrefs

Sequence in context: A012792 A012232 A114063 * A193120 A264858 A112716

Adjacent sequences: A214132 A214133 A214134 * A214136 A214137 A214138

Keyword

nonn

Author

R. H. Hardin Jul 05 2012

Status

approved