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A223597 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, diagonal or antidiagonal neighbor moves along an edge of this graph 1
3888, 156592, 9902320, 755683024, 63079247600, 5493636282928, 488183756623568, 43794253024609968, 3946123141338476848, 356301644338823049296, 32201832268642094966384, 2911632403841248652157872 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223599

LINKS

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

FORMULA

Empirical: a(n) = 262*a(n-1) -27461*a(n-2) +1495173*a(n-3) -43731134*a(n-4) +524673515*a(n-5) +6152511118*a(n-6) -282489565946*a(n-7) +2483912652446*a(n-8) +29421676125172*a(n-9) -697481373534648*a(n-10) +1458530010373832*a(n-11) +69956815192276352*a(n-12) -528297046730454848*a(n-13) -3086827662172494368*a(n-14) +47882553746367689088*a(n-15) +10965707122770907424*a(n-16) -2340559269540265031680*a(n-17) +5486927347986588608128*a(n-18) +69941648621456082536192*a(n-19) -297251623473934709486080*a(n-20) -1305157991750784855581696*a(n-21) +8440979797025067938063360*a(n-22) +14095302059293361615038464*a(n-23) -153743492804216781166567424*a(n-24) -47288441966639179842289664*a(n-25) +1913643253312062415283470336*a(n-26) -1003396550664482371964010496*a(n-27) -16679686771510732571704557568*a(n-28) +18533891488099072440625266688*a(n-29) +102246890008469545463403511808*a(n-30) -162991214909517474276797579264*a(n-31) -435115451422049349545104506880*a(n-32) +906569796239239890738717130752*a(n-33) +1237363099105353331896741789696*a(n-34) -3400152306679263954961728274432*a(n-35) -2123358478538635499265029308416*a(n-36) +8745123657405352931796413579264*a(n-37) +1356859111813262969537896120320*a(n-38) -15406674097594010873279553732608*a(n-39) +2559191145981943448863927959552*a(n-40) +18379877253737585156555959959552*a(n-41) -7469555760751370214782938382336*a(n-42) -14489346748589643282674394071040*a(n-43) +8912191332173092779417707479040*a(n-44) +7158796451658792959835985936384*a(n-45) -6111682650067493662711747706880*a(n-46) -1925452223339216616089800671232*a(n-47) +2511453223454919622878532993024*a(n-48) +124615282764101585541682692096*a(n-49) -591103371671157002715262877696*a(n-50) +66531760201729733686366044160*a(n-51) +68802887222583329394880675840*a(n-52) -14955428582870495402894819328*a(n-53) -2531485943906550622189518848*a(n-54) +713115117845179384429805568*a(n-55)

EXAMPLE

Some solutions for n=3

..0..8.10..2.10.12....0..8.14..8.10.12....0..8.10..8.14..8....0..8.14..8.14..8

..0..8.10..8.10..8....0..8.14..8.10.12...10..8.10..8.14..6....0..8.14..8.14.12

.14..8.10..8.14.12...10..8..0..8.10..8...10..8.14.12.14.12...10..8.10.12.14.12

CROSSREFS

Sequence in context: A253484 A253479 A186135 * A223438 A223690 A186555

Adjacent sequences: A223594 A223595 A223596 * A223598 A223599 A223600

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 23 2013

STATUS

approved

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Last modified January 31 11:03 EST 2023. Contains 359971 sequences. (Running on oeis4.)