A223437 Generalized Petersen graph (8,2) coloring a rectangular array: number of nX5 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.

1296, 40160, 1562176, 67182208, 3049973040, 142702806112, 6790055219264, 326095786136512, 15740601974728144, 761894144429277728, 36933075864379992960, 1791784217341289032832, 86964938378374308543408

Offset: 1

Author

R. H. Hardin Mar 20 2013

Keywords

• nonn

Comments

Column 5 of A223440

Examples

			Some solutions for n=3
.14.12.14.12.10...14..8..0..7..0...14..8.10.12..4...10.12.10.12.14
..8.14..8.14..8....8..0..7.15..7....6.14..8.14.12....2.10..2.10..8
..0..8.14..8..0....0..7.15..7..6...14..8.14.12..4...10.12.10..2.10
		

Links

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

Formula

Empirical: a(n) = 62*a(n-1) +97*a(n-2) -43361*a(n-3) +169107*a(n-4) +9430075*a(n-5) -42692985*a(n-6) -944380223*a(n-7) [phone]*a(n-8) [phone]*a(n-9) -223620107693*a(n-10) -1517318142163*a(n-11) [phone]*a(n-12) [phone]*a(n-13) -124450548676359*a(n-14) -271316347782785*a(n-15) +1405146906215354*a(n-16) +1486735261657557*a(n-17) -9731248121419764*a(n-18) -3199983254595948*a(n-19) +40528119973374804*a(n-20) -5730916061514328*a(n-21) -98589639864853568*a(n-22) +43705272486463008*a(n-23) +135607659234364992*a(n-24) -89468393018269056*a(n-25) -98957223312948992*a(n-26) +87411803248288256*a(n-27) +31094370745832448*a(n-28) -42403903770849280*a(n-29) [phone]*a(n-30) +9031467111268352*a(n-31) -2014501576998912*a(n-32) -534258356224000*a(n-33) [phone]*a(n-34) -28053544108032*a(n-35) [phone]*a(n-36)