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A008267 Coordination sequence T1 for Coesite. 1
1, 4, 10, 22, 47, 83, 125, 171, 215, 288, 349, 415, 518, 591, 674, 816, 904, 1002, 1177, 1271, 1388, 1617, 1710, 1840, 2112, 2204, 2358, 2684, 2769, 2939, 3314, 3391, 3581, 4023, 4084, 4287, 4791, 4833, 5054, 5633, 5655, 5893, 6533, 6526, 6788, 7513, 7479 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Inorganic Crystal Structure Database: Collection Code 18112.

LINKS

Sean A. Irvine, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: (x^34 +3*x^33 +6*x^32 +10*x^31 +6*x^30 +3*x^29 -13*x^28 -20*x^27 -40*x^26 -40*x^25 -48*x^24 -64*x^23 -114*x^22 -239*x^21 -458*x^20 -793*x^19 -1228*x^18 -1737*x^17 -2222*x^16 -2652*x^15 -2904*x^14 -2980*x^13 -2831*x^12 -2522*x^11 -2072*x^10 -1598*x^9 -1126*x^8 -737*x^7 -438*x^6 -233*x^5 -111*x^4 -46*x^3 -17*x^2 -5*x -1) / (x^2 +1) / (x^6 +x^5 -x -1) / (x^7 -1) / (x^4 +x^2 +1)^2 / (x -1) / (x^2 +x +1).

CROSSREFS

Sequence in context: A296953 A266373 A266374 * A056112 A118430 A178452

Adjacent sequences:  A008264 A008265 A008266 * A008268 A008269 A008270

KEYWORD

nonn,easy

AUTHOR

mgeorg(AT)ntu.edu.sg (Georg Thimm); Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified January 24 12:47 EST 2022. Contains 350538 sequences. (Running on oeis4.)