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A008248 Coordination sequence T2 for Zeolite Code YUG. 1
1, 4, 10, 22, 39, 61, 89, 118, 153, 198, 241, 287, 349, 409, 465, 541, 619, 688, 777, 871, 954, 1056, 1165, 1264, 1380, 1501, 1615, 1748, 1882, 2008, 2158, 2307, 2444, 2611, 2776, 2923, 3105, 3288, 3448, 3642, 3841, 4016, 4223, 4437, 4627, 4848, 5075, 5280 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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 + 4*x + 11*x^2 + 24*x^3 + 42*x^4 + 64*x^5 + 84*x^6 + 97*x^7 + 101*x^8 + 98*x^9 + 84*x^10 + 63*x^11 + 42*x^12 + 25*x^13 + 10*x^14 + x^15 - x^16 + x^17 + 2*x^18 + x^19) / ((1 - x)^3 * (1 + x + x^2)^2 * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

G.f.: (1 + 4*x + 10*x^2 + 20*x^3 + 31*x^4 + 40*x^5 + 42*x^6 + 33*x^7 + 17*x^8 + x^9 - 17*x^10 - 35*x^11 - 42*x^12 - 38*x^13 - 32*x^14 - 24*x^15 - 11*x^16 + 3*x^18 - 2*x^20 - x^21) / (1 - x^3)^2 / (1 - x^5) / (1 - x^7). - Sean A. Irvine, Mar 15 2018

CROSSREFS

Sequence in context: A008255 A008031 A339609 * A301243 A177736 A061777

Adjacent sequences:  A008245 A008246 A008247 * A008249 A008250 A008251

KEYWORD

nonn

AUTHOR

Ralf W. Grosse-Kunstleve

STATUS

approved

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Last modified October 21 15:18 EDT 2021. Contains 348155 sequences. (Running on oeis4.)