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 A126904 Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_24]. 0
 1, 24, 264, 1800, 8736, 32952, 102744, 276648, 663744, 1451736, 2944104, 5607624, 10131552, 17499768, 29077176, 46711656, 72852864, 110689176, 164304072, 238853256, 340763808, 477956664, 660093720, 898850856, 1208218176, 1604828760, 2108317224 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136. LINKS FORMULA G.f.: (x^2+4*x+1)^4/(1-x)^8. a(0)=1, a(1)=24, a(2)=264, a(3)=1800, a(4)=8736, a(5)=32952, a(6)=102744, a(7)=276648, a(8)=663744, a(n)=8*a(n-1)-28*a(n-2)+56*a(n-3)- 70*a(n-4)+ 56*a(n-5)-28*a(n-6)+8*a(n-7)-a(n-8) [From Harvey P. Dale, Apr 09 2012] MATHEMATICA CoefficientList[Series[(x^2+4x+1)^4/(1-x)^8, {x, 0, 30}], x] (* or *) Join[{1}, LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {24, 264, 1800, 8736, 32952, 102744, 276648, 663744}, 30]] (* From Harvey P. Dale, Apr 09 2012 *) CROSSREFS Sequence in context: A009175 A187380 A000145 * A001413 A022065 A125412 Adjacent sequences:  A126901 A126902 A126903 * A126905 A126906 A126907 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 18 2007 STATUS approved

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