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A223691 Petersen graph (8,2) coloring a rectangular array: number of nX7 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
11664, 1958400, 427910688, 105181093728, 27354210143760, 7306668414672912, 1976213549179804032, 537590994035364946080, 146628829869224648953104, 40041688438868960037567888, 10940705072365974924084181632 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A223692
LINKS
FORMULA
Empirical: a(n) = 1086*a(n-1) -531412*a(n-2) +158094980*a(n-3) -32410930846*a(n-4) +4908226206408*a(n-5) -573852807039185*a(n-6) +53400679876499522*a(n-7) -4043740938388278819*a(n-8) +253377675360372449192*a(n-9) -13308243144653502627481*a(n-10) +591925141439612661784684*a(n-11) -22476584822490304309227208*a(n-12) +733377830171664860370276240*a(n-13) -20668216205684384369132006348*a(n-14) +505151658011352505409536686256*a(n-15) -10740846559770086966587503992656*a(n-16) +199132670082450344228955916635968*a(n-17) -3223956089417146847925736666737216*a(n-18) +45616121783730217980375443174162176*a(n-19) -564109268450114144356247682493236992*a(n-20) +6093239525425067500620348564148222976*a(n-21) -57408782275783331967719619596868386816*a(n-22) +470779256244829339558966580058292297728*a(n-23) -3350072681530689187999087996905738256384*a(n-24) +20604136944041220068277963986834557632512*a(n-25) -108965940022844399893768389174827615780864*a(n-26) +492319642410153174280023744602906857308160*a(n-27) -1884873456661994572673878158904610103754752*a(n-28) +6052466952381767435992297433147355936325632*a(n-29) -16088666991199490883777321896965785979453440*a(n-30) +34809776132412259456097195026586154722918400*a(n-31) -59942025483399281813642878281718771482624000*a(n-32) +79650745755927529352419738724545918402560000*a(n-33) -78083626716552401272257438862661595955200000*a(n-34) +52604639147660467533801102895636021248000000*a(n-35) -21418655547537750460943435612081356800000000*a(n-36) +3876257338090726186738574721810432000000000*a(n-37) for n>39
EXAMPLE
Some solutions for n=3
..0..8..0..7..0..8.14....0..8..0..8.14..8.10....0..8..0..7..0..8.10
..0..1..0..8.10..8.14....0..1..0..8.10..8.10....0..1..0..8.14..8.14
..0..8.14..8.14.12..4....0..8.10.12.14.12..4....0..8.10.12.14..8..0
CROSSREFS
Sequence in context: A203821 A223598 A223439 * A254770 A254777 A254723
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 25 2013
STATUS
approved

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)