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%I A296916 #10 Dec 23 2017 00:12:01 %S A296916 1,-24,260,-1670,6999,-19698,36408,-40240,20170 %N A296916 List of coefficients of reduced chromatic polynomial of icosahedron, highest order terms first. %C A296916 These are the coefficients when the chromatic polynomial of the icosahedron (see A296917) is divided by x*(x-1)*(x-2)*(x-3). %D A296916 N. Biggs, Algebraic Graph Theory, 2nd ed. Cambridge University Press, 1993. See p. 69. %e A296916 The reduced chromatic polynomial is x^8-24*x^7+260*x^6-1670*x^5+6999*x^4-19698*x^3+36408*x^2-40240*x+20170. %e A296916 Multiplying by x*(x-1)*(x-2)*(x-3) and expanding we get the chromatic polynomial for the icosahedron, which is x^12 - 30*x^11 + 415*x^10 - 3500*x^9 + 20023*x^8 - 81622*x^7 + 241605*x^6 - 517360*x^5 + 780286*x^4 - 782108*x^3 + 463310*x^2 - 121020*x. %Y A296916 Cf. A296917, A218514. %K A296916 sign,fini,full %O A296916 1,2 %A A296916 _N. J. A. Sloane_, Dec 22 2017