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A008038 Coordination sequence T1 for Zeolite Code ATS. 1
1, 4, 10, 19, 30, 46, 67, 93, 124, 154, 189, 232, 277, 325, 374, 428, 490, 557, 625, 690, 763, 844, 930, 1021, 1105, 1194, 1294, 1399, 1510, 1616, 1724, 1840, 1964, 2095, 2220, 2350, 2485, 2625, 2776, 2920, 3069, 3226, 3385, 3553, 3716, 3884, 4060, 4241 (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)^2 * (1 + x + 4*x^2 + 3*x^3 + 8*x^4 + 7*x^5 + 10*x^6 + 10*x^7 + 9*x^8 + 8*x^9 + 7*x^10 + 4*x^11 + x^12 + x^13 - 2*x^15) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 18 2015

CROSSREFS

Sequence in context: A241239 A057312 A219965 * A301248 A160425 A152946

Adjacent sequences:  A008035 A008036 A008037 * A008039 A008040 A008041

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified June 2 16:05 EDT 2020. Contains 334787 sequences. (Running on oeis4.)