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

1,1

Comments

Column 5 of A223440

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) +4270354567*a(n-8) +50259902237*a(n-9) -223620107693*a(n-10) -1517318142163*a(n-11) +6782196814489*a(n-12) +26682637399469*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) +555544355516416*a(n-30) +9031467111268352*a(n-31) -2014501576998912*a(n-32) -534258356224000*a(n-33) +246552412291072*a(n-34) -28053544108032*a(n-35) +759655563264*a(n-36)

Example

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

Crossrefs

Sequence in context: A265471 A017140 A152071 * A183618 A017236 A265478

Adjacent sequences: A223434 A223435 A223436 * A223438 A223439 A223440

Keyword

nonn

Author

R. H. Hardin Mar 20 2013

Status

approved