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A223216 3X3X3 triangular graph coloring a rectangular array: number of nX6 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
2016, 348462, 70014654, 13964418774, 2819203560630, 568826898735456, 114951289224812310, 23227660271475502380, 4694519943609992528562, 948788414286463188576882, 191761199180338417680628116 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223218

LINKS

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

FORMULA

Empirical: a(n) = 240*a(n-1) +1092*a(n-2) -2136312*a(n-3) +54638418*a(n-4) +4959884592*a(n-5) -180717825656*a(n-6) -4388852019525*a(n-7) +222725936152233*a(n-8) +1299240518682420*a(n-9) -135392050801829772*a(n-10) +270135029342092914*a(n-11) +45688037606819892326*a(n-12) -276868217598214764540*a(n-13) -9295846895323782585804*a(n-14) +80358659205883862455431*a(n-15) +1207420412107156713478659*a(n-16) -12926472910438452699368196*a(n-17) -103964705452714479973645644*a(n-18) +1331390203816211039555082126*a(n-19) +6033444542481858775567916331*a(n-20) -93767100515308750602409540605*a(n-21) -232477773029978928510229512774*a(n-22) +4688219795208831927083993785497*a(n-23) +5400530367757285312000335343856*a(n-24) -170352807718938294501807580371144*a(n-25) -37646112822503015406082368747396*a(n-26) +4566384824777311452364599935827995*a(n-27) -2199031253416569932942398003538436*a(n-28) -91108929995376816778096155444488727*a(n-29) +95857977833241733356325731374386824*a(n-30) +1357940697353723583863345440038522834*a(n-31) -2112732262411791153670852041020362410*a(n-32) -15082023019004693849475957746098580652*a(n-33) +30933968369947180899224217842078584296*a(n-34) +123409791587750678640920953701014338053*a(n-35) -322779172834962299360962554089440655066*a(n-36) -723041608520918497015165018387164641205*a(n-37) +2463450842849943395798217986237661833964*a(n-38) +2815891168866405206961079029588962079618*a(n-39) -13863702454162310767040132898208592669886*a(n-40) -5438356906438627503233243216975378624403*a(n-41) +57341042889781764115094075944140966518102*a(n-42) -9546859962180595768552979357426867825457*a(n-43) -171709230050099586776424354283655415265386*a(n-44) +108304371770873726984750875672774107551226*a(n-45) +360128021131777502837950016460132845037828*a(n-46) -394110231128738315515358175567524004712458*a(n-47) -490348304350608406859807387371871976718070*a(n-48) +855393022127207220958472058232460002291764*a(n-49) +335746971100118145817441662101192827224342*a(n-50) -1202016118559123669414630794203625301900979*a(n-51) +108569335002139047989091755292603986988408*a(n-52) +1093257381491730516256193612712535937218260*a(n-53) -479617224142898819288994398904466796202786*a(n-54) -612513833165358271365052129986447296782059*a(n-55) +487873539969846628480249167410135199454848*a(n-56) +178011844827877363457965209193333861698672*a(n-57) -269861850936427234755518174721514631689632*a(n-58) -481454733782051827425828864392727562848*a(n-59) +89547467784863221926487839232939259218944*a(n-60) -18834871783373713594826538792515681962752*a(n-61) -17867120813255482814041179377273473759488*a(n-62) +6884837526037578310652258219184850491648*a(n-63) +2006697349964400012565897316858337245184*a(n-64) -1256004425305051308064473084037516234752*a(n-65) -94185494173592777215057383902608408576*a(n-66) +134007047926705054326497183385441828864*a(n-67) -3493495378284328319170127904949174272*a(n-68) -8704241590665031998895805799956889600*a(n-69) +663099191622850153903606971223179264*a(n-70) +347642466286414386688482306005139456*a(n-71) -32809590814481451210552337647009792*a(n-72) -8428882868783473345568553463971840*a(n-73) +715685322302339763980834011348992*a(n-74) +115946482937616298892673140391936*a(n-75) -5759294397879514771269724667904*a(n-76) -690473027255071938191258812416*a(n-77)

EXAMPLE

Some solutions for n=3

..0..1..0..2..5..4....0..1..0..2..4..3....0..1..0..1..4..3....0..1..3..1..2..1

..1..0..2..1..2..1....1..2..1..4..2..1....1..0..2..4..1..4....1..2..4..3..1..2

..0..1..4..2..4..2....0..1..0..2..0..2....0..1..0..1..3..1....0..1..3..1..2..4

CROSSREFS

Sequence in context: A125491 A166818 A166800 * A110851 A282331 A183768

Adjacent sequences:  A223213 A223214 A223215 * A223217 A223218 A223219

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 18 2013

STATUS

approved

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Last modified May 26 22:57 EDT 2019. Contains 323597 sequences. (Running on oeis4.)