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A223246 3-loop graph coloring a rectangular array: number of nX7 0..6 arrays where 0..6 label nodes of a graph with edges 0,1 1,2 2,0 0,3 3,4 4,0 0,5 5,6 6,0 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
4704, 1057122, 616998282, 275682413748, 184125991023066, 83513173388559498, 55925027353114184220, 25372795048960023429750, 16991839155881129014403670, 7709131730243873577760292256, 5162704473825698727134216675430 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A223247

LINKS

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

FORMULA

Empirical: a(n) = 50*a(n-1) +309882*a(n-2) -15445228*a(n-3) -1847890689*a(n-4) +77634890543*a(n-5) +3072172903207*a(n-6) -120189802909292*a(n-7) -2327333429902662*a(n-8) +87513514449356677*a(n-9) +962664268596294571*a(n-10) -35464888312212422095*a(n-11) -237770410531657321771*a(n-12) +8761341878948485105311*a(n-13) +36786296890588151647687*a(n-14) -1399084233037986122903894*a(n-15) -3641939968703205375366615*a(n-16) +150418245411133902068906926*a(n-17) +228720636124940516360394250*a(n-18) -11204326902334247763966903915*a(n-19) -8428460622553854941203815280*a(n-20) +589786218897430546146484169870*a(n-21) +111851292689635381066848614850*a(n-22) -22225777095741565226511844615736*a(n-23) +5137958217008575478292773822044*a(n-24) +604159673558121789405821099645001*a(n-25) -332704711279535439372881235084073*a(n-26) -11884582460529329926103584197241588*a(n-27) +9465218357386638598273908366784970*a(n-28) +169155153027163314352610218672575678*a(n-29) -167189781096139188212455917482881022*a(n-30) -1737102790487869172883090290949093284*a(n-31) +1983617217237666410807795621376723692*a(n-32) +12803531753790765189713911142073886424*a(n-33) -16253805695607608263126984465739180568*a(n-34) -67182643393477443997893771094012175800*a(n-35) +92866423454203246495672587978421369272*a(n-36) +247829451871240134641206768995091905776*a(n-37) -369766999999719780847595307294265856016*a(n-38) -630379992991211559379863174757936084448*a(n-39) +1017048808914946849938499794144316076960*a(n-40) +1073012583099873249722771535425598168000*a(n-41) -1899530804018681725896273979849687589056*a(n-42) -1165516685405954785384535105352546846464*a(n-43) +2345733675719956063136282081679699746432*a(n-44) +743386630073073859204921038435377653760*a(n-45) -1842929174172602210334186925762305361152*a(n-46) -230069479494113268815769963663728813568*a(n-47) +871105302584070888755419979185826893824*a(n-48) +10200902141284442996402282024550656000*a(n-49) -228988451520509169239706206591231692800*a(n-50) +9694857978508102203968721327669248000*a(n-51) +30453507160058292022768627929497600000*a(n-52) -2091707285998170946100849500262400000*a(n-53) -1862991970368518512536552852480000000*a(n-54) +145030252176504656703514091520000000*a(n-55) +44854084172530464065793331200000000*a(n-56) -3573557775459944677370880000000000*a(n-57) -227048064011678798807040000000000*a(n-58) +18117162377413923225600000000000*a(n-59)

EXAMPLE

Some solutions for n=3

..3..0..3..0..5..0..3....3..0..3..0..2..0..5....3..0..3..0..2..0..4

..0..3..0..3..0..1..0....0..3..0..3..0..4..0....0..3..0..3..0..4..0

..3..0..1..0..6..0..6....3..0..1..0..3..0..5....3..0..5..0..1..0..3

CROSSREFS

Sequence in context: A251135 A237699 A235022 * A330836 A107544 A092375

Adjacent sequences:  A223243 A223244 A223245 * A223247 A223248 A223249

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 18 2013

STATUS

approved

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Last modified January 22 21:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)