A301024 Coordination sequence T4 for Zeolite Code EZT.

1, 4, 9, 17, 30, 49, 73, 97, 120, 154, 199, 237, 273, 322, 381, 439, 488, 549, 627, 698, 768, 843, 930, 1022, 1102, 1196, 1300, 1402, 1506, 1608, 1729, 1849, 1961, 2088, 2217, 2354, 2487, 2622, 2775, 2917, 3065, 3224, 3386, 3552, 3706, 3880, 4066

Offset

0,2

Links

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000

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 + 4*x + 30*x^4 + 47*x^5 + 90*x^9 + 9*x^2 + 17*x^3 + 65*x^6 + 79*x^7 + 85*x^8 + 93*x^10 + 78*x^11 + 58*x^12 + 52*x^13 + 37*x^14 + 7*x^15 - 8*x^16 - 11*x^17 - 29*x^18 - 52*x^19 - 64*x^20 - 74*x^21 - 83*x^22 - 93*x^24 - 13*x^29 - 4*x^31 - 79*x^25 - 51*x^27 - 38*x^28 - x^30 - x^32 - 2*x^36 + 4*x^33 - 4*x^35 - 90*x^23 - 59*x^26) / (1 - x^5)^2 / (1 - x^8) / (1 - x^14).

Crossrefs

Sequence in context: A008127 A008082 A008143 * A038401 A008046 A008093

Adjacent sequences: A301021 A301022 A301023 * A301025 A301026 A301027

Keyword

nonn

Author

Sean A. Irvine, Mar 17 2018

Status

approved