A301021 Coordination sequence T1 for Zeolite Code EZT.

1, 4, 10, 19, 31, 49, 72, 97, 124, 155, 194, 236, 278, 324, 375, 435, 496, 556, 621, 690, 771, 851, 928, 1014, 1103, 1204, 1302, 1396, 1503, 1611, 1731, 1849, 1961, 2088, 2216, 2354, 2490, 2621, 2769, 2917, 3073, 3228, 3379, 3546, 3712, 3887, 4061

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 + 31*x^4 + 47*x^5 + 89*x^9 + 10*x^2 + 19*x^3 + 64*x^6 + 77*x^7 + 85*x^8 + 87*x^10 + 77*x^11 + 63*x^12 + 48*x^13 + 31*x^14 + 15*x^15 - 15*x^17 - 31*x^18 - 48*x^19 - 63*x^20 - 77*x^21 - 87*x^22 - 85*x^24 - 19*x^29 - 4*x^31 - 77*x^25 - 47*x^27 - 31*x^28 - 10*x^30 - x^32 - 89*x^23 - 64*x^26) / (1 - x^5)^2 / (1 - x^8) / (1 - x^14).

Crossrefs

Sequence in context: A037040 A007077 A301202 * A009895 A027371 A301022

Adjacent sequences: A301018 A301019 A301020 * A301022 A301023 A301024

Keyword

nonn

Author

Sean A. Irvine, Mar 17 2018

Status

approved