Search: id:A159042
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%I A159042
%S A159042 0,0,0,747053585907744,1624906810580622279614865504,
%T A159042 3900619871010725907313019804069579280,
%U A159042 111374420910619212411328421717468734145825520
%N A159042 Number of n-colorings of the Meredith graph.
%C A159042 The Meredith graph is a quartic graph and has 70 vertices and 140 edges.
%H A159042 Timme, Marc; van Bussel, Frank; Fliegner, Denny; Stolzenberg, Sebastian 
               (2009) "Counting complex disordered states by efficient pattern matching: 
               chromatic polynomials and Potts partition functions", New J. Phys. 
               11 023001, doi: <a href="http://dx.doi.org/10.1088/1367-2630/11/2/
               023001">10.1088/1367-2630/11/2/023001</a>.
%H A159042 Weisstein, Eric W. "<a href="http://mathworld.wolfram.com/MeredithGraph.html">
               Meredith Graph</a>".
%H A159042 Weisstein, Eric W. "<a href="http://mathworld.wolfram.com/ChromaticPolynomial.html">
               Chromatic Polynomial</a>".
%F A159042 a(n) = n^70 -140*n^69 + ... (see Maple program).
%p A159042 a:= n-> n^70 -140*n^69 +9730*n^68 -447400*n^67 +15305135*n^66 -415313393*n^65 
               +9307967445*n^64 -177143229030*n^63 +2921177227525*n^62 -42385147826865*n^61 
               +547655231251908*n^60 -6362445160967745*n^59 +66986770934977025*n^58 
               -643352690897566600*n^57 +5667629661727827429*n^56 -46013601683266483989*n^55 
               +345664837976423128305*n^54 -2411147136807901357850*n^53 +15664284197610372703930*n^52 
               -95031857192627592823326*n^51 +539650543483530480882752*n^50 -2874305532391337539996485*n^49
%p A159042 +14385257377566268242112295*n^48 -67758324543540665508726310*n^47 +300803696795762585094442995*n^46 
               -1260150898704315083355251212*n^45 +4987235543866672796249231805*n^44 
               -18664491212756813908060275395*n^43 +66108845581038195328899028504*n^42 
               -221773640361316596303337110160*n^41 +705086354028668042504214018607*n^40 
               -2125642553250579162207215767515*n^39 +6079224924265710043776161884405*n^38 
               -16499617656675529846687195597390*n^37 +42509867076774336819454956263250*n^36
%p A159042 -103988317142611589963712639983561*n^35 +241554032858481141729373679458650*n^34 
               -532847530987458664066131405620215*n^33 +1116202306596128429166204239670647*n^32 
               -2220214951406392311415783145265329*n^31 +4192648006602621467299484454778591*n^30 
               -7514842484274869921819667009399380*n^29 +12780653134533109958801979273097025*n^28 
               -20616591776665541139098418720204795*n^27 +31528536279800783513205673609584534*n^26 
               -45684332572157988296327146880432095*n^25 +62678471299025314973514488100228920*n^24
%p A159042 -81362005670284446245879146132398065*n^23 +99836520077262877270258946727344514*n^22 
               -115684440640637678201229486643623485*n^21 +126433743339285214903926502952473218*n^20 
               -130154178150874560458698914463229340*n^19 +125999609712703619169371290023059680*n^18 
               -114495785432462147983155197360247705*n^17 +97447468246116398716460589448822380*n^16 
               -77479744020570827477339249735141209*n^15 +57371706327812630305881125360391745*n^14 
               -39416270714623217330027913795782240*n^13
%p A159042 +25011535455740119736457286079204103*n^12 -14576354728913589772989968300121395*n^11 
               +7747341664555046958454964994697203*n^10 -3722187024914996630144695521734710*n^9 
               +1598229334625422734646185658775215*n^8 -604231638465790590641296302523484*n^7 
               +197153623811266041335220568907745*n^6 -53996098994334893792266856899050*n^5 
               +11917235505602835293961310038870*n^4 -1986603675193265823756221623185*n^3 
               +222218302960934882569425611786*n^2 -12499044249708706934521437824*n: 
               seq (a(n), n=0..15);
%Y A159042 Sequence in context: A086438 A104873 A088867 this_sequence A129935 A104835 
               A128446
%Y A159042 Adjacent sequences: A159039 A159040 A159041 this_sequence A159043 A159044 
               A159045
%K A159042 nonn
%O A159042 0,4
%A A159042 Alois P. Heinz (heinz(AT)hs-heilbronn.de), Apr 03 2009

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