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Coordination sequence T1 for Milarite.
1

%I #18 Apr 10 2018 08:26:35

%S 1,4,10,22,43,69,95,123,162,215,269,319,372,435,513,597,675,754,843,

%T 943,1052,1162,1268,1381,1507,1640,1776,1912,2052,2204,2362,2520,2682,

%U 2854,3034,3216,3399,3585,3782,3992,4202,4411,4623,4842,5077,5319,5555,5791

%N Coordination sequence T1 for Milarite.

%H Sean A. Irvine, <a href="/A008256/b008256.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>

%F G.f.: (1 + 3*x + 7*x^2 + 15*x^3 + 28*x^4 + 40*x^5 + 50*x^6 + 59*x^7 + 70*x^8 + 76*x^9 + 71*x^10 + 63*x^11 + 52*x^12 + 40*x^13 + 28*x^14 + 19*x^15 + 7*x^16 + x^17 + x^18 - x^20) / ((1 - x)^3 * (1 + x) * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4)). - _Colin Barker_, Dec 23 2015

%F G.f.: (1 + 4*x + 10*x^2 + 22*x^3 + 43*x^4 + 68*x^5 + 90*x^6 + 109*x^7 + 129*x^8 + 146*x^9 + 147*x^10 + 134*x^11 + 115*x^12 + 92*x^13 + 68*x^14 + 47*x^15 + 26*x^16 + 8*x^17 + 2*x^18 + x^19 - x^20 - x^21) / (1 - x^5) / (1 - x^6) / (1 - x^8). - _Sean A. Irvine_, Mar 15 2018

%K nonn

%O 0,2

%A _Ralf W. Grosse-Kunstleve_