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A008247 Coordination sequence T1 for Zeolite Code YUG. 1
1, 4, 11, 22, 39, 61, 88, 120, 155, 192, 241, 295, 344, 404, 473, 539, 613, 696, 776, 863, 961, 1057, 1159, 1270, 1378, 1495, 1624, 1746, 1875, 2017, 2154, 2301, 2457, 2605, 2765, 2939, 3103, 3274, 3463, 3641, 3826, 4031, 4224, 4423, 4639, 4847, 5064, 5295 (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 + 5*x + 17*x^2 + 41*x^3 + 83*x^4 + 141*x^5 + 213*x^6 + 285*x^7 + 346*x^8 + 376*x^9 + 377*x^10 + 343*x^11 + 288*x^12 + 215*x^13 + 144*x^14 + 80*x^15 + 38*x^16 + 13*x^17 + 5*x^18 + 2*x^19 + 2*x^20 + x^21) / ((1 -x)^3 * (1 + x^2) * (1 + x + x^2)^2 * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015

G.f.: (1 + 4*x + 34*x^5 + 30*x^6 + 14*x^7 + 11*x^2 + 20*x^3 + 30*x^4 - 11*x^8 - 42*x^9 - 60*x^10 - 64*x^11 - 56*x^12 - 39*x^13 - 16*x^14 + 9*x^15 + 29*x^16 + 39*x^17 + 34*x^18 + 22*x^19 + 8*x^20 + 2*x^21 - x^22 + x^23 + x^24) / (1 - x^3)^2 / (1 - x^4) / (1 - x^5) / (1 - x^7). - Sean A. Irvine, Mar 15 2018

CROSSREFS

Sequence in context: A038434 A038441 A301082 * A016435 A213759 A047951

Adjacent sequences:  A008244 A008245 A008246 * A008248 A008249 A008250

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified December 5 06:52 EST 2021. Contains 349543 sequences. (Running on oeis4.)