A008144 Coordination sequence T1 for Zeolite Code MAZ.

1, 4, 10, 20, 35, 54, 78, 104, 134, 171, 210, 255, 303, 355, 413, 472, 535, 605, 680, 758, 838, 923, 1016, 1107, 1202, 1311, 1418, 1525, 1640, 1759, 1883, 2009, 2143, 2284, 2420, 2563, 2714, 2860, 3017, 3185, 3348, 3516, 3691, 3869, 4048, 4232, 4432, 4627

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.: -(2*x^47-2*x^46+5*x^45-x^44+15*x^43+13*x^42+46*x^41+58*x^40+123*x^39+162*x^38+

269*x^37+352*x^36+511*x^35+644*x^34+852*x^33+1031*x^32+1275*x^31+1480*x^30+1730

*x^29+1928*x^28+2150*x^27+2306*x^26+2458*x^25+2542*x^24+2600*x^23+2593*x^22+

2547*x^21+2449*x^20+2309*x^19+2140*x^18+1932*x^17+1721*x^16+1484*x^15+1268*x^14

+1038*x^13+846*x^12+653*x^11+505*x^10+362*x^9+263*x^8+172*x^7+115*x^6+67*x^5+39

*x^4+19*x^3+9*x^2+3*x+1)/(x^23-x^22+3*x^21-3*x^20+5*x^19-5*x^18+7*x^17-7*x^16+9

*x^15-9*x^14+10*x^13-10*x^12+10*x^11-10*x^10+9*x^9-9*x^8+7*x^7-7*x^6+5*x^5-5*x^

4+3*x^3-3*x^2+x-1)/(x^11-1)/(x^5-x^4+x-1)/(x^6+x^5+x^4+x^3+x^2+x+1).

Crossrefs

Sequence in context: A341133 A008033 A047954 * A289388 A038406 A301007

Adjacent sequences: A008141 A008142 A008143 * A008145 A008146 A008147

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved