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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 1
1296, 40160, 1562176, 67182208, 3049973040, 142702806112, 6790055219264, 326095786136512, 15740601974728144, 761894144429277728, 36933075864379992960, 1791784217341289032832, 86964938378374308543408 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A223440
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 20 2013
STATUS
approved

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Last modified February 24 02:20 EST 2024. Contains 370288 sequences. (Running on oeis4.)