%I #9 Feb 03 2021 21:55:13
%S 1,4,12,26,43,64,99,133,161,210,274,318,364,441,528,593,649,746,877,
%T 953,1003,1145,1314,1383,1450,1629,1822,1911,1979,2179,2433,2524,2569,
%U 2831,3132,3199,3260,3568,3894,3980,4033,4363,4767,4846,4859,5268,5728
%N Coordination sequence T2 for Zeolite Code NSI.
%H R. W. Grosse-Kunstleve, <a href="/A301141/b301141.txt">Table of n, a(n) for n = 0..1000</a>
%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 International Zeolite Association, <a href="http://www.iza-structure.org/databases/">Database of Zeolite Structures</a>
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0,-2,2,0,4,1,0,-1,-4,0,-2,2,0,1).
%F From _Chai Wah Wu_, Feb 03 2021: (Start)
%F a(n) = - 2*a(n-2) + 2*a(n-3) + 4*a(n-5) + a(n-6) - a(n-8) - 4*a(n-9) - 2*a(n-11) + 2*a(n-12) + a(n-14) for n > 14.
%F G.f.: (-x^14 - 4*x^13 - 14*x^12 - 32*x^11 - 59*x^10 - 88*x^9 - 116*x^8 - 123*x^7 - 116*x^6 - 88*x^5 - 59*x^4 - 32*x^3 - 14*x^2 - 4*x - 1)/((x - 1)^3*(x + 1)*(x^2 + 1)^3*(x^2 + x + 1)^2). (End)
%K nonn
%O 0,2
%A _Sean A. Irvine_, Mar 18 2018