A008258 - OEIS

A008258

Coordination sequence T1 for Moganite.

1, 4, 10, 24, 40, 64, 90, 120, 160, 200, 244, 300, 354, 412, 484, 552, 624, 712, 794, 880, 984, 1080, 1180, 1300, 1410, 1524, 1660, 1784, 1912, 2064, 2202, 2344, 2512, 2664, 2820, 3004, 3170, 3340, 3540, 3720, 3904, 4120, 4314, 4512, 4744, 4952, 5164, 5412

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OFFSET

0,2

REFERENCES

Inorganic Crystal Structure Database: Collection Code 67669.

LINKS

Sean A. Irvine, Table of n, a(n) for n = 0..1000

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.

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

FORMULA

a(3*m) = 22*m^2+2, a(3*m+1) = 22*m^2+14*m+4, a(3*m+2) = 22*m^2+30*m+12, m>0. - N. J. A. Sloane

G.f.: (1+3*x+6*x^2+12*x^3+10*x^4+12*x^5-x^6+x^7-2*x^8+2*x^9) / ((1-x)^3*(1+x+x^2)^2). - Colin Barker, Dec 23 2015