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A008132 Coordination sequence T1 for Zeolite Code LOS. 1
1, 4, 10, 20, 34, 52, 74, 102, 136, 172, 210, 252, 300, 354, 410, 468, 530, 600, 678, 756, 834, 916, 1006, 1104, 1202, 1300, 1402, 1514, 1636, 1756, 1874, 1996, 2128, 2270, 2410, 2548, 2690, 2844, 3010, 3172, 3330, 3492, 3666, 3852, 4034, 4212, 4394, 4590 (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

a(10*m+k) = 208*m^2 + b(k)*m + c(k), where b(k), c(k) are constants depending on k, 0<=k<10 (N. J. A. Sloane).

G.f.: (1 + x) * (1 + x + 3*x^2 + 3*x^3 + 5*x^4 + 4*x^5 + 6*x^6 + 6*x^7 + 6*x^8 + 4*x^9 + 5*x^10 + 3*x^11 + 3*x^12 + x^13 + x^14) / ((1 - x)^3 * (1 - x + x^2 - x^3 + x^4) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 19 2015

CROSSREFS

Sequence in context: A301040 A008131 A301219 * A008115 A301112 A008140

Adjacent sequences:  A008129 A008130 A008131 * A008133 A008134 A008135

KEYWORD

nonn,easy

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.)