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

Author

R. H. Hardin, Jul 04 2012

Keywords

• nonn

Comments

Row 5 of A214101.

Examples

			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
		

Links

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

Crossrefs

Cf. A214101.

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) [phone]*a(n-11) [phone]*a(n-12) -83121717*a(n-13) -71958333*a(n-14) [phone]*a(n-15) [phone]*a(n-16) -199821666*a(n-17) [phone]*a(n-18) [phone]*a(n-19) -43577864*a(n-20) -39520072*a(n-21) [phone]*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).