A214109 Number of 0..3 colorings on an nX6 array circular in the 6 direction with new values 0..3 introduced in row major order

31, 4994, 825105, 136579852, 22615881851, 3745149506514, 620197951750765, 102705230544465812, 17008068694073067351, 2816550096827130042274, 466423009554657364966505, 77240033763830053132251132

Offset

1,1

Comments

Column 5 of A214112

Links

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

Formula

Empirical: a(n) = 200*a(n-1) -5769*a(n-2) +11744*a(n-3) +43057*a(n-4) -89856*a(n-5) +40625*a(n-6).

Empirical: G.f. -x*(31-1206*x+5144*x^2+5174*x^3-42107*x^4+28260*x^5) / ( (x-1)*(40625*x^5-49231*x^4-6174*x^3+5570*x^2-199*x+1) ). - R. J. Mathar, Jul 04 2012

Example

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

Crossrefs

Sequence in context: A350721 A115736 A110848 * A245290 A090681 A297767

Adjacent sequences: A214106 A214107 A214108 * A214110 A214111 A214112

Keyword

nonn

Author

R. H. Hardin Jul 04 2012

Status

approved