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A008131 Coordination sequence T3 for Zeolite Code LIO. 1
1, 4, 10, 20, 34, 52, 74, 102, 136, 172, 208, 248, 298, 356, 414, 470, 530, 600, 678, 756, 832, 912, 1004, 1106, 1206, 1300, 1398, 1512, 1638, 1760, 1874, 1992, 2126, 2272, 2414, 2548, 2686, 2842, 3012, 3176, 3328, 3484, 3662, 3856, 4042, 4214, 4390, 4588 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996.

LINKS

R. W. Grosse-Kunstleve, 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.

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

International Zeolite Association, Database of Zeolite Structures

FORMULA

G.f.: (1 + x)^3 * (1 - x + 3*x^2 - 2*x^3 + 4*x^4 - 3*x^5 + 6*x^6 - 4*x^7 + 5*x^8 - 4*x^9 + 6*x^10 - 3*x^11 + 4*x^12 - 2*x^13 + 3*x^14 - x^15 + x^16) / ((1 - x)^3 * (1 + x + x^2 + x^3 + x^4)^2 * (1 - x + x^3 - x^4 + x^5 - x^7 + x^8)). - Colin Barker, Dec 21 2015

CROSSREFS

Sequence in context: A301031 A301026 A301040 * A301219 A008132 A008115

Adjacent sequences:  A008128 A008129 A008130 * A008132 A008133 A008134

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified April 20 20:26 EDT 2021. Contains 343137 sequences. (Running on oeis4.)