A057314 Coordination sequence T1 for Zeolite Code SAV.

1, 4, 9, 17, 29, 45, 65, 88, 113, 143, 179, 215, 252, 298, 349, 398, 451, 511, 572, 635, 705, 780, 856, 933, 1014, 1101, 1192, 1286, 1384, 1484, 1586, 1693, 1804, 1919, 2040, 2162, 2283, 2411, 2546, 2681, 2819, 2964, 3111, 3258, 3410, 3569, 3731, 3893

Offset: 0

Author

Ralf W. Grosse-Kunstleve

Keywords

• nonn

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 + x) * (1 + x + 3*x^2 + 4*x^3 + 6*x^4 + 8*x^5 + 9*x^6 + 9*x^7 + 9*x^8 + 9*x^9 + 6*x^10 + 4*x^11 + 3*x^12 + 2*x^13 + x^15 - x^16) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 19 2015