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A223438 Generalized 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 or vertical neighbor moves along an edge of this graph 1
3888, 217600, 16693920, 1485628224, 142702806112, 14233389951648, 1445484467129440, 148051853028192512, 15224711042202343552, 1568546471897589578240, 161743493137179916579328 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A223440
LINKS
FORMULA
Empirical: a(n) = 179*a(n-1) -6951*a(n-2) -271607*a(n-3) +21119701*a(n-4) -118613501*a(n-5) -16042793190*a(n-6) +277619145432*a(n-7) +4774235776970*a(n-8) -143405382746884*a(n-9) -420821388852096*a(n-10) +37606839411196966*a(n-11) -108407551854657226*a(n-12) -5925717179937776746*a(n-13) +39180449352667077880*a(n-14) +594191118931902297380*a(n-15) -6048293242384810531005*a(n-16) -37425103625741440759549*a(n-17) +581628683844798046438773*a(n-18) +1237091247316116764955769*a(n-19) -38359293135928763955100103*a(n-20) +10460671769010555148095519*a(n-21) +1803003415972858635750111358*a(n-22) -3555491137079607222972056260*a(n-23) -61240750606527318395511648092*a(n-24) +208929828925354587554180034318*a(n-25) +1496274712129237698547575636186*a(n-26) -7383850296772908334765122622272*a(n-27) -25486824081243026489791296763924*a(n-28) +180945378839552150289431909848184*a(n-29) +272060798461933104708902120861352*a(n-30) -3223625701824336396853308761486432*a(n-31) -926992300176834952990672970545568*a(n-32) +42605028363187490241072310143295696*a(n-33) -24181387384720951667537133460117088*a(n-34) -421243983113204347458262866291111104*a(n-35) +522621268456758965922986474070191680*a(n-36) +3117652620410103561192249896061440704*a(n-37) -5757985944132377746954418458709319168*a(n-38) -17136186963844437148251471189604363776*a(n-39) +42807061143532148618500747175742229248*a(n-40) +68360313318415840393673365396945673728*a(n-41) -230878479976506864281497267126776039424*a(n-42) -185958383458129096930882467989236291584*a(n-43) +929638490630874241066066348711815901184*a(n-44) +272642333553193345312255046530514829312*a(n-45) -2828506494259520326303069238640433889280*a(n-46) +187876400515135304183018125265604706304*a(n-47) +6522259870842702958321466972861679337472*a(n-48) -2199835759024541218671700798961932042240*a(n-49) -11351796940281836861931047881940781760512*a(n-50) +6326111340620304034339570888129924038656*a(n-51) +14742943903606817466073273582029857882112*a(n-52) -11131170323309421129817159596245627437056*a(n-53) -13982019244531593213598483709829966725120*a(n-54) +13446193221349424784824942171525176360960*a(n-55) +9302529715774949884948586274845993467904*a(n-56) -11465865042568043262964603473706725933056*a(n-57) -3978202072362133000934554075141704253440*a(n-58) +6894264763275498221487759159674638696448*a(n-59) +804438912205355891400653311864345722880*a(n-60) -2870777348120732309785811350967050829824*a(n-61) +136108470483921596342924067271644020736*a(n-62) +799525309855040342220275767358101913600*a(n-63) -138526363297520598455023112398047281152*a(n-64) -140099281831814052898932707279947956224*a(n-65) +39805653154762055884979103573022343168*a(n-66) +13633601779888820299846675388669362176*a(n-67) -5739652518611612105149682128970055680*a(n-68) -485708260970010936160701727360679936*a(n-69) +409698635146914391412410184502345728*a(n-70) -18064072479780486906434123536007168*a(n-71) -11446924048860749714664666544734208*a(n-72) +1296574284601992775674928708976640*a(n-73) +38674149510563025837725853941760*a(n-74) -6774069712859013824343598694400*a(n-75)
EXAMPLE
Some solutions for n=3
..8.10.12.10..2.10....8.10..8.14.12..4....8.10..8..0..7..0....8..0..8.14..8..0
..0..8.10..2..1..2....0..8.10.12.14.12....0..8.10..8..0..7....0..8.10..8.10..8
..8.14..8.10..2..1....8.10.12.10.12.10....8..0..8..0..8..0....8..0..8.14.12.10
CROSSREFS
Sequence in context: A253479 A186135 A223597 * A223690 A186555 A185862
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 20 2013
STATUS
approved

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)