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A008263 Coordination sequence T2 for Scapolite. 1
1, 4, 11, 26, 43, 58, 90, 132, 159, 196, 257, 308, 352, 418, 495, 568, 637, 712, 810, 910, 993, 1092, 1213, 1324, 1432, 1550, 1681, 1830, 1961, 2076, 2238, 2416, 2547, 2692, 2887, 3068, 3224, 3394, 3595, 3808, 3987, 4160, 4396, 4632, 4811, 5022, 5281, 5514 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Inorganic Crystal Structure Database: Collection Code 9502.

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.: (-1 -10*x^2 -24*x^3 -42*x^4 -3*x -72*x^5 -114*x^6 -155*x^7 -210*x^8 -260*x^9 -301*x^10 -338*x^11 -352*x^13 -338*x^14 -301*x^15 -260*x^16 -210*x^17 -155*x^18 -114*x^19 -72*x^20 -42*x^21 -24*x^22 -10*x^23 -3*x^24 -x^25 -352*x^12)*(1 +x)*(-1 +x^2)^2 / (-1 +x^4)^2 / (-1 +x^6) / (-1 +x^7) / (-1 +x^9).

MATHEMATICA

Table[SeriesCoefficient[(-1 - 10 x^2 - 24 x^3 - 42 x^4 - 3 x - 72 x^5 - 114 x^6 - 155 x^7 - 210 x^8 - 260 x^9 - 301 x^10 - 338 x^11 - 352 x^13 - 338 x^14 - 301 x^15 - 260 x^16 - 210 x^17 - 155 x^18 - 114 x^19 - 72 x^20 - 42 x^21 - 24 x^22 - 10 x^23 - 3 x^24 - x^25 - 352 x^12) (1 + x) (-1 + x^2)^2/(-1 + x^4)^2/(-1 + x^6)/(-1 + x^7)/(-1 + x^9), {x, 0, n}], {n, 0, 47}] (* Michael De Vlieger, Dec 23 2015 *)

CROSSREFS

Sequence in context: A289082 A079467 A140897 * A297149 A159944 A002763

Adjacent sequences:  A008260 A008261 A008262 * A008264 A008265 A008266

KEYWORD

nonn,easy

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified October 24 05:38 EDT 2021. Contains 348217 sequences. (Running on oeis4.)