A008031 Coordination sequence T1 for Zeolite Code ANA.

1, 4, 10, 22, 39, 60, 87, 118, 154, 196, 242, 292, 345, 406, 471, 540, 616, 694, 780, 868, 959, 1060, 1161, 1270, 1384, 1500, 1626, 1750, 1881, 2020, 2159, 2308, 2458, 2614, 2778, 2940, 3111, 3286, 3465, 3652, 3840, 4036, 4236, 4438, 4647, 4860, 5079, 5302

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

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 +2*x +4*x^2 +8*x^3 +9*x^4 +11*x^5 +13*x^6 +12*x^7 +11*x^8 +11*x^9 +8*x^10 +3*x^11 +2*x^12 +3*x^13 -4*x^14 +2*x^15) / ((1 -x)^3*(1 +x^2)*(1 +x^4)*(1 +x +x^2 +x^3 +x^4)). - Colin Barker, Dec 18 2015

G.f.: (1 + 3*x + 6*x^2 + 12*x^3 + 17*x^4 + 20*x^5 + 24*x^6 + 25*x^7 + 23*x^8 + 22*x^9 + 19*x^10 + 11*x^11 + 5*x^12 + 5*x^13 - x^14 - 2*x^15 + 2*x^16) / (1-x) / (1-x^5) / (1-x^8). - Sean A. Irvine, Mar 13 2018

Crossrefs

Sequence in context: A301077 A341734 A008255 * A339609 A008248 A301243

Adjacent sequences: A008028 A008029 A008030 * A008032 A008033 A008034

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved