A008046 Coordination sequence T2 for Zeolite Code AWW.

1, 4, 9, 17, 30, 50, 74, 97, 123, 158, 198, 237, 281, 336, 394, 447, 501, 566, 638, 709, 783, 868, 960, 1047, 1133, 1230, 1334, 1435, 1537, 1650, 1772, 1895, 2019, 2150, 2284, 2413, 2543, 2684, 2836, 2993, 3155, 3322, 3486, 3643, 3801, 3972, 4156, 4345

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

a(n+191)-a(n+128)-2a(n+127)+2a(n+64)+a(n+63)-a(n)=0 (N. J. A. Sloane).

Maple

-(x^27+3*x^26+2*x^25-2*x^24-2*x^23+x^22+3*x^21+8*x^20+18*x^19+31*x^18+44*
x^17+57*x^16+71*x^15+83*x^14+90*x^13+92*x^12+92*x^11+89*x^10+79*x^9+65*x^8+53*x^7
+43*x^6+31*x^5+19*x^4+11*x^3+6*x^2+3*x+1)/(x^7-x^6+x^5-x^4+x^3-x^2+x-1)/(x-1)
/(x^15+x^14+x^13+x^12+x^11+x^10+x^9-x^6-x^5-x^4-x^3-x^2-x-1)

Crossrefs

Sequence in context: A008143 A301024 A038401 * A008093 A027374 A265048

Adjacent sequences: A008043 A008044 A008045 * A008047 A008048 A008049

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved