A057316 Coordination sequence T3 for Zeolite Code SAV.

1, 4, 9, 17, 29, 45, 63, 84, 112, 144, 177, 214, 256, 300, 346, 397, 451, 508, 571, 637, 704, 775, 853, 935, 1018, 1104, 1193, 1285, 1380, 1480, 1585, 1692, 1804, 1920, 2037, 2158, 2286, 2417, 2547, 2681, 2819, 2960, 3106, 3256, 3410, 3567, 3729, 3895

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 + x) * (1 + x^2 + x^3 + 2*x^4 + x^5 + 5*x^7 + 2*x^8 + x^9 + x^10 + 7*x^11 + x^12 + x^13 + x^14 + 7*x^15 - 2*x^16 + 3*x^17 + 3*x^19 - x^20 + 2*x^21) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 - x^2 + x^4) * (1 - x + x^2 - x^3 + x^4 - x^5 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 21 2015

Crossrefs

Sequence in context: A009879 A219841 A009878 * A008066 A008026 A009865

Adjacent sequences: A057313 A057314 A057315 * A057317 A057318 A057319

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved