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%I #30 Feb 07 2024 11:29:44
%S 1,6,18,42,74,114,162,222,290,366,450,546,650,762,882,1014,1154,1302,
%T 1458,1626,1802,1986,2178,2382,2594,2814,3042,3282,3530,3786,4050,
%U 4326,4610,4902,5202,5514,5834,6162,6498,6846,7202,7566,7938,8322,8714
%N Coordination sequence for NiAs(2), As position.
%D Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (194) hP4.
%H Vincenzo Librandi, <a href="/A009945/b009945.txt">Table of n, a(n) for n = 0..1000</a>
%H R. W. Grosse-Kunstleve, <a href="/A005897/a005897.html">Coordination Sequences and Encyclopedia of Integer Sequences</a>
%H R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, <a href="http://neilsloane.com/doc/ac96cs/">Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites</a>, Acta Cryst., A52 (1996), pp. 879-889.
%H Sean A. Irvine, <a href="/A008000/a008000_1.pdf">Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,1,-2,1).
%F a(0)=1, a(4n)=2*((6n)^2+1), a(4n+2)=18*(2n+1)^2, a(2n+1)=6*(3n^2+3n+1). - _Ralf Stephan_, Mar 07 2004
%F G.f.: -(x^3+x^2+3*x+1)*(x^3+3*x^2+x+1) / ((x-1)^3*(x+1)*(x^2+1)). - _Colin Barker_, Aug 30 2013
%t CoefficientList[Series[-(x^3 + x^2 + 3 x + 1) (x^3 + 3 x^2 + x + 1)/((x - 1)^3 (x + 1) (x^2 + 1)), {x, 0, 50}], x] (* _Vincenzo Librandi_, Oct 15 2013 *)
%K nonn,easy
%O 0,2
%A _Ralf W. Grosse-Kunstleve_
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