A008248 Coordination sequence T2 for Zeolite Code YUG.

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

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