A008094 Coordination sequence T2 for Zeolite Code ERI.

1, 4, 10, 20, 32, 46, 64, 90, 126, 164, 196, 222, 258, 316, 384, 444, 488, 532, 594, 676, 768, 850, 920, 990, 1074, 1176, 1282, 1386, 1486, 1586, 1692, 1804, 1928, 2060, 2192, 2318, 2440, 2574, 2722, 2876, 3026, 3170, 3320, 3482, 3656, 3830, 3994, 4158, 4336

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 + x) * (1 + x + 3*x^2 + 4*x^3 + 4*x^4 + 7*x^5 + 8*x^6 + 11*x^7 + 12*x^8 + 11*x^9 + 8*x^10 + 11*x^11 + 12*x^12 + 11*x^13 + 8*x^14 + 7*x^15 + 4*x^16 + 4*x^17 + 3*x^18 + x^19 + x^20) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 - x^2 + x^4) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A301180 A357837 A008128 * A301286 A008083 A301023

Adjacent sequences: A008091 A008092 A008093 * A008095 A008096 A008097

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved