A301023 Coordination sequence T3 for Zeolite Code EZT.

1, 4, 10, 20, 32, 48, 71, 98, 126, 155, 192, 237, 280, 323, 374, 435, 499, 556, 617, 693, 773, 851, 926, 1010, 1110, 1206, 1299, 1395, 1499, 1618, 1733, 1845, 1961, 2084, 2223, 2358, 2485, 2618, 2765, 2927, 3079, 3220, 3373, 3545, 3725, 3890, 4050

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 + 32*x^4 + 46*x^5 + 87*x^9 + 10*x^2 + 20*x^3 + 63*x^6 + 78*x^7 + 85*x^8 + 87*x^10 + 79*x^11 + 62*x^12 + 45*x^13 + 32*x^14 + 17*x^15 - 17*x^17 - 32*x^18 - 45*x^19 - 62*x^20 - 79*x^21 - 87*x^22 - 85*x^24 - 20*x^29 - 4*x^31 - 78*x^25 - 46*x^27 - 32*x^28 - 10*x^30 - x^32 - 87*x^23 - 63*x^26) / (1 - x^5)^2 / (1 - x^8) / (1 - x^14).

Crossrefs

Sequence in context: A008094 A301286 A008083 * A008050 A008039 A024986

Adjacent sequences: A301020 A301021 A301022 * A301024 A301025 A301026

Keyword

nonn

Author

Sean A. Irvine, Mar 17 2018

Status

approved