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(40*m+k) = 3920*m^2 + 196*k*m + one of 40 numbers depending on k, 0<=k<40 (N. J. A. Sloane).
G.f.: (1 + 2*x + 5*x^2 + 6*x^3 + 12*x^4 + 12*x^5 + 16*x^6 + 13*x^7 + 22*x^8 + 18*x^9 + 22*x^10 + 13*x^11 + 16*x^12 + 12*x^13 + 12*x^14 + 6*x^15 + 5*x^16 + 2*x^17 + x^18) / ((1-x)^3 * (1+x) * (1+x^2) * (1 - x + x^2 - x^3 + x^4) * (1+x^4) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 18 2015
G.f.: (1 + 3*x + 7*x^2 + 11*x^3 + 18*x^4 + 24*x^5 + 28*x^6 + 29*x^7 + 35*x^8 + 40*x^9 + 40*x^10 + 35*x^11 + 29*x^12 + 28*x^13 + 24*x^14 + 18*x^15 + 11*x^16 + 7*x^17 + 3*x^18 + x^19) / (1-x) / (1-x^8) / (1-x^10). - Sean A. Irvine, Mar 13 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved