A008252 Coordination sequence T2 for Cordierite.

1, 4, 11, 23, 46, 70, 100, 131, 177, 230, 280, 332, 395, 471, 554, 620, 714, 797, 909, 998, 1120, 1226, 1353, 1453, 1618, 1736, 1906, 1995, 2195, 2336, 2540, 2646, 2861, 3011, 3268, 3374, 3642, 3771, 4071, 4194, 4502, 4648, 4961, 5083, 5456, 5600, 5976

Offset

0,2

References

Inorganic Crystal Structure Database: Collection Code 30947.

Links

Sean A. Irvine, 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

Formula

G.f.: (1 + 5*x + 16*x^2 + 40*x^3 + 88*x^4 + 159*x^5 + 252*x^6 + 359*x^7 + 459*x^8 + 535*x^9 + 566*x^10 + 547*x^11 + 481*x^12 + 381*x^13 + 272*x^14 + 167*x^15 + 92*x^16 + 38*x^17 + 10*x^18 - x^19 - x^20 - 2*x^21) / ((1 - x)^3 * (1 + x)^3 * (1 - x + x^2) * (1 + x^2)^2 * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 23 2015

Crossrefs

Sequence in context: A008214 A008104 A227358 * A182707 A022495 A238489

Adjacent sequences: A008249 A008250 A008251 * A008253 A008254 A008255

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved