A214136 Number of 0..4 colorings on an nX4 array circular in the 4 direction with new values 0..4 introduced in row major order

4, 257, 28278, 3221873, 367793014, 41989913081, 4793901053846, 547309896088193, 62485254609615222, 7133814088846153097, 814453006155085388566, 92984438755466611752209, 10615843744610501570047094

Offset

1,1

Comments

Column 3 of A214141

Links

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

Formula

Empirical: a(n) = 129*a(n-1) -1759*a(n-2) +7575*a(n-3) -9064*a(n-4) +3120*a(n-5).

Empirical: G.f. -x*(4-259*x+2161*x^2-4226*x^3+1880*x^4) / ( (x-1) *(780*x^2-121*x+1) *(4*x^2-7*x+1) ). - R. J. Mathar, Jul 05 2012

Example

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

Crossrefs

Sequence in context: A137840 A114561 A252586 * A068417 A116967 A003382

Adjacent sequences: A214133 A214134 A214135 * A214137 A214138 A214139

Keyword

nonn

Author

R. H. Hardin Jul 05 2012

Status

approved