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A008035 Coordination sequence T2 for Zeolite Code APD. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 21 02:29 EDT 2021. Contains 348141 sequences. (Running on oeis4.)