A214137 Number of 0..4 colorings on an nX5 array circular in the 5 direction with new values 0..4 introduced in row major order.

11, 3074, 1101051, 396246659, 142612676441, 51327630988519, 18473293023759681, 6648710425444606279, 2392932882341580821521, 861238858813625796412439, 309967896468864954647672961, 111560336436381065332976408999

Offset

1,1

Comments

Column 4 of A214141

Links

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

Formula

Empirical: a(n) = 373*a(n-1) -4754*a(n-2) +15312*a(n-3).

Empirical: G.f. -x*(11-1029*x+6743*x^2) / ( (6*x-1)*(2552*x^2-367*x+1) ). - R. J. Mathar, Jul 07 2012

Example

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

Crossrefs

Sequence in context: A227785 A216347 A377762 * A295192 A359989 A295195

Adjacent sequences: A214134 A214135 A214136 * A214138 A214139 A214140

Keyword

nonn

Author

R. H. Hardin, Jul 05 2012

Status

approved