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A008041 Coordination sequence T1 for Zeolite Code ATT. 1
1, 4, 9, 18, 33, 52, 73, 96, 123, 158, 199, 239, 280, 329, 383, 438, 498, 564, 633, 704, 778, 857, 941, 1029, 1122, 1219, 1316, 1415, 1522, 1636, 1753, 1871, 1990, 2115, 2248, 2383, 2519, 2661, 2808, 2957, 3110, 3268, 3429, 3593, 3762, 3937, 4115, 4293 (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) * (1 + 2*x + 5*x^2 + 10*x^3 + 17*x^4 + 25*x^5 + 34*x^6 + 40*x^7 + 46*x^8 + 48*x^9 + 46*x^10 + 40*x^11 + 34*x^12 + 25*x^13 + 17*x^14 + 10*x^15 + 5*x^16 + 2*x^17 + x^18) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 18 2015

CROSSREFS

Sequence in context: A019456 A054062 A301246 * A301102 A301101 A266340

Adjacent sequences:  A008038 A008039 A008040 * A008042 A008043 A008044

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified October 18 23:44 EDT 2021. Contains 348071 sequences. (Running on oeis4.)