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 A009925 Coordination sequence for CaF2(2), F position. 1
 1, 4, 22, 24, 82, 64, 182, 124, 322, 204, 502, 304, 722, 424, 982, 564, 1282, 724, 1622, 904, 2002, 1104, 2422, 1324, 2882, 1564, 3382, 1824, 3922, 2104, 4502, 2404, 5122, 2724, 5782, 3064, 6482, 3424, 7222, 3804, 8002, 4204, 8822, 4624, 9682, 5064 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (225) cF12 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889. Index entries for linear recurrences with constant coefficients, signature (0,3,0,-3,0,1). FORMULA G.f.: (1+4*x+19*x^2+12*x^3+19*x^4+4*x^5+x^6) / ((1-x)^3*(1+x)^3). - Colin Barker, Dec 12 2012 From Colin Barker, Jan 27 2016: (Start) a(n) = (5*(-1)^n*n^2+15*n^2+(-1)^n+7)/4 for n>0. a(n) = 5*n^2+2 for n>0 and even. a(n) = (5*n^2+3)/2 for n odd. (End) MATHEMATICA CoefficientList[Series[-(x^6 + 4 x^5 + 19 x^4 + 12 x^3 + 19 x^2 + 4 x + 1)/((x - 1)^3 (x + 1)^3), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 15 2013 *) PROG (PARI) Vec((1+4*x+19*x^2+12*x^3+19*x^4+4*x^5+x^6)/((1-x)^3*(1+x)^3) + O(x^100)) \\ Colin Barker, Jan 27 2016 CROSSREFS Sequence in context: A268924 A185866 A043061 * A059653 A022385 A244411 Adjacent sequences:  A009922 A009923 A009924 * A009926 A009927 A009928 KEYWORD nonn,easy AUTHOR R. W. Grosse-Kunstleve (rwgk(AT)cci.lbl.gov) STATUS approved

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