A008263 Coordination sequence T2 for Scapolite.

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

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