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A008145 Coordination sequence T2 for Zeolite Code MAZ. 1
1, 4, 10, 21, 36, 53, 74, 104, 138, 174, 212, 255, 302, 349, 408, 474, 542, 610, 680, 755, 836, 923, 1014, 1110, 1206, 1308, 1410, 1521, 1644, 1767, 1892, 2016, 2142, 2270, 2408, 2559, 2716, 2871, 3026, 3186, 3346, 3512, 3688, 3871, 4056, 4237, 4420, 4612 (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.: (x^45+3*x^44+9*x^43+20*x^42+39*x^41+68*x^40+112*x^39+176*x^38+258*x^37+371*x^

36+497*x^35+666*x^34+835*x^33+1053*x^32+1253*x^31+1500*x^30+1708*x^29+1946*x^28

+2126*x^27+2317*x^26+2442*x^25+2549*x^24+2593*x^23+2593*x^22+2549*x^21+2442*x^

20+2317*x^19+2126*x^18+1946*x^17+1708*x^16+1500*x^15+1253*x^14+1053*x^13+835*x^

12+666*x^11+497*x^10+371*x^9+258*x^8+176*x^7+112*x^6+68*x^5+39*x^4+20*x^3+9*x^2

+3*x+1)/(x^7-1)/(x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1)/(x-1)/(x^10+x^9+x^8+x^7+x^6

+x^5+x^4+x^3+x^2+x+1)/(x^18+2*x^16+3*x^14+4*x^12+4*x^10+4*x^8+4*x^6+3*x^4+2*x^2+1).

CROSSREFS

Sequence in context: A038404 A024985 A301128 * A038407 A301012 A009894

Adjacent sequences:  A008142 A008143 A008144 * A008146 A008147 A008148

KEYWORD

nonn,easy

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified May 16 23:34 EDT 2021. Contains 343957 sequences. (Running on oeis4.)