A214104 Number of 0..2 colorings of a 5 X (n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order.

81, 16, 4913, 6480, 428383, 1262128, 41634729, 190532944, 4254090231, 25595530224, 448363485787, 3231395138192, 48307812545787, 393486251977776, 5289839833178345, 46862146728089808, 586190042199419197

Offset

1,1

Comments

Row 5 of A214101.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +56*a(n-2) -1688*a(n-3) +4037*a(n-4) +44693*a(n-5) -203873*a(n-6) -312833*a(n-7) +2832059*a(n-8) -909541*a(n-9) -17058886*a(n-10) +18627946*a(n-11) +50511099*a(n-12) -83121717*a(n-13) -71958333*a(n-14) +176504835*a(n-15) +32625006*a(n-16) -199821666*a(n-17) +30366700*a(n-18) +122944620*a(n-19) -43577864*a(n-20) -39520072*a(n-21) +20445664*a(n-22) +5749984*a(n-23) -4391680*a(n-24) -152320*a(n-25) +420352*a(n-26) -34304*a(n-27) -14336*a(n-28) +2048*a(n-29).

Example

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

Crossrefs

Cf. A214101.

Sequence in context: A366458 A259687 A065793 * A175241 A178373 A147674

Adjacent sequences: A214101 A214102 A214103 * A214105 A214106 A214107

Keyword

nonn

Author

R. H. Hardin, Jul 04 2012

Status

approved