A008085 Coordination sequence T2 for Zeolite Code EDI.

1, 4, 8, 18, 32, 52, 74, 100, 128, 162, 204, 244, 286, 340, 396, 450, 512, 580, 650, 724, 800, 882, 972, 1060, 1150, 1252, 1356, 1458, 1568, 1684, 1802, 1924, 2048, 2178, 2316, 2452, 2590, 2740, 2892, 3042, 3200, 3364, 3530, 3700, 3872, 4050, 4236, 4420

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(12*m+k) = 288*m^2 + 48*k*m + [ -2, 4, 12, 18, 32, 52, 74, 100, 128, 162, 204, 244 ], 0<=k<12. - N. J. A. Sloane

G.f.: (1+2*x+2*x^2+7*x^3+3*x^4+10*x^5-2*x^6+5*x^7-8*x^8+4*x^9) / ((1-x)^3 * (1+x^2) * (1+x+x^2)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A365675 A195334 A009918 * A001977 A008373 A008374

Adjacent sequences: A008082 A008083 A008084 * A008086 A008087 A008088

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved