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 A223690 Petersen graph (8,2) coloring a rectangular array: number of nX6 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 antidiagonal neighbor moves along an edge of this graph 1

%I #4 Mar 25 2013 13:51:13

%S 3888,361440,40075632,4777430544,591191889840,74643295612752,

%T 9525534763343040,1222395248538717264,157321448699750643600,

%U 20277258143648241944160,2615539308991446742728768

%N Petersen graph (8,2) coloring a rectangular array: number of nX6 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 antidiagonal neighbor moves along an edge of this graph

%C Column 6 of A223692

%H R. H. Hardin, <a href="/A223690/b223690.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 401*a(n-1) -67694*a(n-2) +6504059*a(n-3) -403267020*a(n-4) +17269251540*a(n-5) -532092758621*a(n-6) +12101188571236*a(n-7) -206320877728788*a(n-8) +2658718377091780*a(n-9) -25945070103424624*a(n-10) +190941914146453840*a(n-11) -1048187391730269952*a(n-12) +4206893801397638144*a(n-13) -11933406529828884480*a(n-14) +22565682238558950400*a(n-15) -25420286353912320000*a(n-16) +12855838934016000000*a(n-17) for n>18

%e Some solutions for n=3

%e ..0..1..0..1..0..1....0..1..0..1..0..7....0..1..2..3..4..3....0..1..2..3..2.10

%e ..0..1..2..1..9.15....0..1..9..1..0..1....0..1..2..3..2..3....0..1..2..3..2..1

%e ..2..3..2..1..9.11....9..1..2..1..0..8....2..3.11..3..4.12....9..1..2..3..2..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 2013

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Last modified December 2 13:39 EST 2023. Contains 367524 sequences. (Running on oeis4.)