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A038407 Coordination sequence T2 for Zeolite Code AWO. 1
1, 4, 10, 21, 36, 53, 76, 108, 142, 173, 210, 259, 310, 360, 418, 482, 546, 615, 692, 769, 848, 940, 1036, 1127, 1224, 1331, 1438, 1548, 1672, 1796, 1912, 2041, 2184, 2319, 2452, 2606, 2766, 2913, 3068, 3239, 3404, 3568, 3754, 3944, 4118, 4301, 4504 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also coordination sequence T3 for zeolite code UEI. - Sean A. Irvine, Mar 17 2018

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

From Colin Barker, Feb 13 2018: (Start)

G.f.: (1 + x)*(1 + 3*x + 8*x^2 + 17*x^3 + 29*x^4 + 44*x^5 + 64*x^6 + 84*x^7 + 101*x^8 + 112*x^9 + 116*x^10 + 112*x^11 + 101*x^12 + 84*x^13 + 64*x^14 + 44*x^15 + 29*x^16 + 17*x^17 + 8*x^18 + 3*x^19 + x^20) / ((1 - x)^3*(1 + x^2)*(1 + x + x^2 + x^3 + x^4)*(1 + x + x^2 + x^3 + x^4 + x^5 + x^6)^2).

a(n) = -a(n-2) + a(n-5) + 3*a(n-7) + 2*a(n-9) - 2*a(n-12) - 3*a(n-14) - a(n-16) + a(n-19) + a(n-21) for n>21.

(End)

CROSSREFS

Sequence in context: A024985 A301128 A008145 * A301012 A009894 A301013

Adjacent sequences:  A038404 A038405 A038406 * A038408 A038409 A038410

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

EXTENSIONS

Title improved by Sean A. Irvine, Mar 16 2018

STATUS

approved

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Last modified May 6 02:46 EDT 2021. Contains 343579 sequences. (Running on oeis4.)