A214114 Number of 0..3 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order.
25, 121, 3502, 44900, 825105, 12777541, 214404272, 3462096250, 56936675435, 928191589611, 15195150205442, 248255790803800, 4059868440913765, 66362714338128081, 1085006507030505012, 17737586664000998550, 289987159511252164095, 4740808786041449060951
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..1..2..3..1....0..1..0..2..1....0..1..2..0..1....0..1..0..1..2 ..1..0..3..0..3....1..0..2..0..2....1..2..3..1..0....1..0..1..0..3 ..0..1..2..1..2....2..1..3..1..0....3..1..0..2..1....2..1..3..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 11*a(n-1) +123*a(n-2) -509*a(n-3) -1615*a(n-4) +7137*a(n-5) -19*a(n-6) -20571*a(n-7) +13176*a(n-8) +13932*a(n-9) -11664*a(n-10).
Empirical g.f.: -x*(-25 +154*x +904*x^2 -4220*x^3 -2423*x^4 +21806*x^5 -10134*x^6 -26460*x^7 +20898*x^8) / ( (x-1) *(3*x-1) *(2*x-1) *(4*x+1) *(1+x) *(27*x^2-18*x+1) *(18*x^3+x^2-8*x-1) ). - R. J. Mathar, Jul 04 2012
Comments