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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

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

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

Adjacent sequences:  A223688 A223689 A223690 * A223692 A223693 A223694

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 25 2013

STATUS

approved

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Last modified May 24 12:01 EDT 2022. Contains 354033 sequences. (Running on oeis4.)