A008035 Coordination sequence T2 for Zeolite Code APD.

1, 4, 11, 22, 38, 59, 83, 113, 147, 186, 230, 278, 330, 386, 448, 513, 585, 660, 739, 824, 912, 1006, 1104, 1207, 1313, 1425, 1541, 1661, 1787, 1916, 2051, 2190, 2334, 2482, 2634, 2791, 2952, 3119, 3290, 3465, 3645, 3829, 4018, 4212, 4411, 4613, 4820, 5032

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^2)*(1 +3*x +7*x^2 +10*x^3 +14*x^4 +17*x^5 +20*x^6 +23*x^7 +24*x^8 +25*x^9 +24*x^10 +23*x^11 +20*x^12 +17*x^13 +14*x^14 +10*x^15 +7*x^16 +3*x^17 +x^18) / ((1-x)^3*(1 +x +x^2)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6 +x^7 +x^8 +x^9 +x^10)). - Colin Barker, Dec 20 2015

G.f.: (1 + 4*x + 11*x^2 + 21*x^3 + 34*x^4 + 48*x^5 + 61*x^6 + 74*x^7 + 84*x^8 + 92*x^9 + 96*x^10 + 96*x^11 + 92*x^12 + 84*x^13 + 74*x^14 + 61*x^15 + 48*x^16 + 34*x^17 + 21*x^18 + 11*x^19 + 4*x^20 + x^21) / (1-x^3) / (1-x^7) / (1-x^11). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A008005 A008015 A301043 * A008197 A008196 A047952

Adjacent sequences: A008032 A008033 A008034 * A008036 A008037 A008038

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved